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Finding the Fourth Proportional to 15,854.34, 23,781.76 and 7,535.22

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Solution

The fourth proportional to 15,854.34, 23,781.76 and 7,535.22 is: 11,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.34 : 23,781.76 = 7,535.22 : x
  2. Step 2: Convert to fraction form
    15,854.34/23,781.76 = 7,535.22/x
  3. Step 3: Cross multiply
    15,854.34x = 23,781.76 × 7,535.22
  4. Step 4: Simplify right side
    15,854.34x = 179,200,793.59
  5. Step 5: Solve for x
    x = 179,200,793.59/15,854.34
  6. Step 6: Final answer
    x = 11,302.95

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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.