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Finding the Fourth Proportional to 21,614.88, 32,423.58 and 6,032.46

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Solution

The fourth proportional to 21,614.88, 32,423.58 and 6,032.46 is: 9,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.88 : 32,423.58 = 6,032.46 : x
  2. Step 2: Convert to fraction form
    21,614.88/32,423.58 = 6,032.46/x
  3. Step 3: Cross multiply
    21,614.88x = 32,423.58 × 6,032.46
  4. Step 4: Simplify right side
    21,614.88x = 195,593,949.41
  5. Step 5: Solve for x
    x = 195,593,949.41/21,614.88
  6. Step 6: Final answer
    x = 9,049.04

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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.