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Finding the Fourth Proportional to 15,729.69, 21,697.09 and 10,352.41

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Solution

The fourth proportional to 15,729.69, 21,697.09 and 10,352.41 is: 14,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.69 : 21,697.09 = 10,352.41 : x
  2. Step 2: Convert to fraction form
    15,729.69/21,697.09 = 10,352.41/x
  3. Step 3: Cross multiply
    15,729.69x = 21,697.09 × 10,352.41
  4. Step 4: Simplify right side
    15,729.69x = 224,617,120.48
  5. Step 5: Solve for x
    x = 224,617,120.48/15,729.69
  6. Step 6: Final answer
    x = 14,279.82

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