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Finding the Fourth Proportional to 24,360.80, 36,544.80 and 7,722.40

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Solution

The fourth proportional to 24,360.80, 36,544.80 and 7,722.40 is: 11,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360.80 : 36,544.80 = 7,722.40 : x
  2. Step 2: Convert to fraction form
    24,360.80/36,544.80 = 7,722.40/x
  3. Step 3: Cross multiply
    24,360.80x = 36,544.80 × 7,722.40
  4. Step 4: Simplify right side
    24,360.80x = 282,213,563.52
  5. Step 5: Solve for x
    x = 282,213,563.52/24,360.80
  6. Step 6: Final answer
    x = 11,584.74

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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.