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Finding the Fourth Proportional to 15,105.42, 22,658.04 and 5,871.42

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Solution

The fourth proportional to 15,105.42, 22,658.04 and 5,871.42 is: 8,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.42 : 22,658.04 = 5,871.42 : x
  2. Step 2: Convert to fraction form
    15,105.42/22,658.04 = 5,871.42/x
  3. Step 3: Cross multiply
    15,105.42x = 22,658.04 × 5,871.42
  4. Step 4: Simplify right side
    15,105.42x = 133,034,869.22
  5. Step 5: Solve for x
    x = 133,034,869.22/15,105.42
  6. Step 6: Final answer
    x = 8,807.10

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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.