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Finding the Fourth Proportional to 15,174.64, 22,747.27 and 5,807.45

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Solution

The fourth proportional to 15,174.64, 22,747.27 and 5,807.45 is: 8,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.64 : 22,747.27 = 5,807.45 : x
  2. Step 2: Convert to fraction form
    15,174.64/22,747.27 = 5,807.45/x
  3. Step 3: Cross multiply
    15,174.64x = 22,747.27 × 5,807.45
  4. Step 4: Simplify right side
    15,174.64x = 132,103,633.16
  5. Step 5: Solve for x
    x = 132,103,633.16/15,174.64
  6. Step 6: Final answer
    x = 8,705.55

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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.