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Finding the Fourth Proportional to 21,766.57, 32,649.72 and 10,508.78

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Solution

The fourth proportional to 21,766.57, 32,649.72 and 10,508.78 is: 15,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766.57 : 32,649.72 = 10,508.78 : x
  2. Step 2: Convert to fraction form
    21,766.57/32,649.72 = 10,508.78/x
  3. Step 3: Cross multiply
    21,766.57x = 32,649.72 × 10,508.78
  4. Step 4: Simplify right side
    21,766.57x = 343,108,561.29
  5. Step 5: Solve for x
    x = 343,108,561.29/21,766.57
  6. Step 6: Final answer
    x = 15,763.10

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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.