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Finding the Fourth Proportional to 15,903.26, 23,854.89 and 6,542.90

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Solution

The fourth proportional to 15,903.26, 23,854.89 and 6,542.90 is: 9,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.26 : 23,854.89 = 6,542.90 : x
  2. Step 2: Convert to fraction form
    15,903.26/23,854.89 = 6,542.90/x
  3. Step 3: Cross multiply
    15,903.26x = 23,854.89 × 6,542.90
  4. Step 4: Simplify right side
    15,903.26x = 156,080,159.78
  5. Step 5: Solve for x
    x = 156,080,159.78/15,903.26
  6. Step 6: Final answer
    x = 9,814.35

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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.