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Finding the Fourth Proportional to 15,167.61, 22,750.49 and 5,678.06

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Solution

The fourth proportional to 15,167.61, 22,750.49 and 5,678.06 is: 8,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167.61 : 22,750.49 = 5,678.06 : x
  2. Step 2: Convert to fraction form
    15,167.61/22,750.49 = 5,678.06/x
  3. Step 3: Cross multiply
    15,167.61x = 22,750.49 × 5,678.06
  4. Step 4: Simplify right side
    15,167.61x = 129,178,505.11
  5. Step 5: Solve for x
    x = 129,178,505.11/15,167.61
  6. Step 6: Final answer
    x = 8,516.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.