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Finding the Fourth Proportional to 21,732.80, 32,587.05 and 10,031.54

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Solution

The fourth proportional to 21,732.80, 32,587.05 and 10,031.54 is: 15,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.80 : 32,587.05 = 10,031.54 : x
  2. Step 2: Convert to fraction form
    21,732.80/32,587.05 = 10,031.54/x
  3. Step 3: Cross multiply
    21,732.80x = 32,587.05 × 10,031.54
  4. Step 4: Simplify right side
    21,732.80x = 326,898,295.56
  5. Step 5: Solve for x
    x = 326,898,295.56/21,732.80
  6. Step 6: Final answer
    x = 15,041.70

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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.