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Finding the Fourth Proportional to 13,615.74, 20,418.47 and 5,294.71

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Solution

The fourth proportional to 13,615.74, 20,418.47 and 5,294.71 is: 7,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.74 : 20,418.47 = 5,294.71 : x
  2. Step 2: Convert to fraction form
    13,615.74/20,418.47 = 5,294.71/x
  3. Step 3: Cross multiply
    13,615.74x = 20,418.47 × 5,294.71
  4. Step 4: Simplify right side
    13,615.74x = 108,109,877.29
  5. Step 5: Solve for x
    x = 108,109,877.29/13,615.74
  6. Step 6: Final answer
    x = 7,940.07

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