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Finding the Fourth Proportional to 19,534.26, 29,311.71 and 10,655.97

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Solution

The fourth proportional to 19,534.26, 29,311.71 and 10,655.97 is: 15,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.26 : 29,311.71 = 10,655.97 : x
  2. Step 2: Convert to fraction form
    19,534.26/29,311.71 = 10,655.97/x
  3. Step 3: Cross multiply
    19,534.26x = 29,311.71 × 10,655.97
  4. Step 4: Simplify right side
    19,534.26x = 312,344,702.41
  5. Step 5: Solve for x
    x = 312,344,702.41/19,534.26
  6. Step 6: Final answer
    x = 15,989.58

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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.