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Finding the Fourth Proportional to 19,529.47, 29,287.14 and 7,046.13

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Solution

The fourth proportional to 19,529.47, 29,287.14 and 7,046.13 is: 10,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529.47 : 29,287.14 = 7,046.13 : x
  2. Step 2: Convert to fraction form
    19,529.47/29,287.14 = 7,046.13/x
  3. Step 3: Cross multiply
    19,529.47x = 29,287.14 × 7,046.13
  4. Step 4: Simplify right side
    19,529.47x = 206,361,079.17
  5. Step 5: Solve for x
    x = 206,361,079.17/19,529.47
  6. Step 6: Final answer
    x = 10,566.65

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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.