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Finding the Fourth Proportional to 22,454, 30,986.11 and 12,383.37

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Solution

The fourth proportional to 22,454, 30,986.11 and 12,383.37 is: 17,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454 : 30,986.11 = 12,383.37 : x
  2. Step 2: Convert to fraction form
    22,454/30,986.11 = 12,383.37/x
  3. Step 3: Cross multiply
    22,454x = 30,986.11 × 12,383.37
  4. Step 4: Simplify right side
    22,454x = 383,712,464.99
  5. Step 5: Solve for x
    x = 383,712,464.99/22,454
  6. Step 6: Final answer
    x = 17,088.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.