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Finding the Fourth Proportional to 19,686.25, 29,538.08 and 10,324.03

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Solution

The fourth proportional to 19,686.25, 29,538.08 and 10,324.03 is: 15,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.25 : 29,538.08 = 10,324.03 : x
  2. Step 2: Convert to fraction form
    19,686.25/29,538.08 = 10,324.03/x
  3. Step 3: Cross multiply
    19,686.25x = 29,538.08 × 10,324.03
  4. Step 4: Simplify right side
    19,686.25x = 304,952,024.06
  5. Step 5: Solve for x
    x = 304,952,024.06/19,686.25
  6. Step 6: Final answer
    x = 15,490.61

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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.