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Finding the Fourth Proportional to 22,767,978.80, 34,140,158.40 and 8,383,642.40

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Solution

The fourth proportional to 22,767,978.80, 34,140,158.40 and 8,383,642.40 is: 12,571,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767,978.80 : 34,140,158.40 = 8,383,642.40 : x
  2. Step 2: Convert to fraction form
    22,767,978.80/34,140,158.40 = 8,383,642.40/x
  3. Step 3: Cross multiply
    22,767,978.80x = 34,140,158.40 × 8,383,642.40
  4. Step 4: Simplify right side
    22,767,978.80x = 286,218,879,504,956.19
  5. Step 5: Solve for x
    x = 286,218,879,504,956.19/22,767,978.80
  6. Step 6: Final answer
    x = 12,571,114.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.