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Finding the Fourth Proportional to 29,711.32, 41,002.74 and 16,966.58

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Solution

The fourth proportional to 29,711.32, 41,002.74 and 16,966.58 is: 23,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.32 : 41,002.74 = 16,966.58 : x
  2. Step 2: Convert to fraction form
    29,711.32/41,002.74 = 16,966.58/x
  3. Step 3: Cross multiply
    29,711.32x = 41,002.74 × 16,966.58
  4. Step 4: Simplify right side
    29,711.32x = 695,676,063.42
  5. Step 5: Solve for x
    x = 695,676,063.42/29,711.32
  6. Step 6: Final answer
    x = 23,414.51

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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.