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Finding the Fourth Proportional to 24,642.34, 34,001.67 and 15,084.39

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Solution

The fourth proportional to 24,642.34, 34,001.67 and 15,084.39 is: 20,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.34 : 34,001.67 = 15,084.39 : x
  2. Step 2: Convert to fraction form
    24,642.34/34,001.67 = 15,084.39/x
  3. Step 3: Cross multiply
    24,642.34x = 34,001.67 × 15,084.39
  4. Step 4: Simplify right side
    24,642.34x = 512,894,635.00
  5. Step 5: Solve for x
    x = 512,894,635.00/24,642.34
  6. Step 6: Final answer
    x = 20,813.55

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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.