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Finding the Fourth Proportional to 19,729.71, 29,605.77 and 7,248.12

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Solution

The fourth proportional to 19,729.71, 29,605.77 and 7,248.12 is: 10,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.71 : 29,605.77 = 7,248.12 : x
  2. Step 2: Convert to fraction form
    19,729.71/29,605.77 = 7,248.12/x
  3. Step 3: Cross multiply
    19,729.71x = 29,605.77 × 7,248.12
  4. Step 4: Simplify right side
    19,729.71x = 214,586,173.65
  5. Step 5: Solve for x
    x = 214,586,173.65/19,729.71
  6. Step 6: Final answer
    x = 10,876.30

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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.