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Finding the Fourth Proportional to 21,685.38, 32,492.87 and 11,140.77

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Solution

The fourth proportional to 21,685.38, 32,492.87 and 11,140.77 is: 16,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.38 : 32,492.87 = 11,140.77 : x
  2. Step 2: Convert to fraction form
    21,685.38/32,492.87 = 11,140.77/x
  3. Step 3: Cross multiply
    21,685.38x = 32,492.87 × 11,140.77
  4. Step 4: Simplify right side
    21,685.38x = 361,995,535.61
  5. Step 5: Solve for x
    x = 361,995,535.61/21,685.38
  6. Step 6: Final answer
    x = 16,693.07

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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.