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Finding the Fourth Proportional to 18,037.70, 24,899.69 and 10,966.38

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Solution

The fourth proportional to 18,037.70, 24,899.69 and 10,966.38 is: 15,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,037.70 : 24,899.69 = 10,966.38 : x
  2. Step 2: Convert to fraction form
    18,037.70/24,899.69 = 10,966.38/x
  3. Step 3: Cross multiply
    18,037.70x = 24,899.69 × 10,966.38
  4. Step 4: Simplify right side
    18,037.70x = 273,059,462.42
  5. Step 5: Solve for x
    x = 273,059,462.42/18,037.70
  6. Step 6: Final answer
    x = 15,138.26

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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.