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Finding the Fourth Proportional to 16,142.29, 22,283.94 and 10,773.70

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Solution

The fourth proportional to 16,142.29, 22,283.94 and 10,773.70 is: 14,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.29 : 22,283.94 = 10,773.70 : x
  2. Step 2: Convert to fraction form
    16,142.29/22,283.94 = 10,773.70/x
  3. Step 3: Cross multiply
    16,142.29x = 22,283.94 × 10,773.70
  4. Step 4: Simplify right side
    16,142.29x = 240,080,484.38
  5. Step 5: Solve for x
    x = 240,080,484.38/16,142.29
  6. Step 6: Final answer
    x = 14,872.76

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Why These Related Problems?

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