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Finding the Fourth Proportional to 15,658.43, 23,490.23 and 7,761.31

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Solution

The fourth proportional to 15,658.43, 23,490.23 and 7,761.31 is: 11,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.43 : 23,490.23 = 7,761.31 : x
  2. Step 2: Convert to fraction form
    15,658.43/23,490.23 = 7,761.31/x
  3. Step 3: Cross multiply
    15,658.43x = 23,490.23 × 7,761.31
  4. Step 4: Simplify right side
    15,658.43x = 182,314,859.47
  5. Step 5: Solve for x
    x = 182,314,859.47/15,658.43
  6. Step 6: Final answer
    x = 11,643.24

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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.