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Finding the Fourth Proportional to 29,711.40, 41,000.22 and 16,280.28

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Solution

The fourth proportional to 29,711.40, 41,000.22 and 16,280.28 is: 22,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.40 : 41,000.22 = 16,280.28 : x
  2. Step 2: Convert to fraction form
    29,711.40/41,000.22 = 16,280.28/x
  3. Step 3: Cross multiply
    29,711.40x = 41,000.22 × 16,280.28
  4. Step 4: Simplify right side
    29,711.40x = 667,495,061.66
  5. Step 5: Solve for x
    x = 667,495,061.66/29,711.40
  6. Step 6: Final answer
    x = 22,465.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.