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Finding the Fourth Proportional to 12,587.38, 17,369.24 and 7,281.20

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Solution

The fourth proportional to 12,587.38, 17,369.24 and 7,281.20 is: 10,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.38 : 17,369.24 = 7,281.20 : x
  2. Step 2: Convert to fraction form
    12,587.38/17,369.24 = 7,281.20/x
  3. Step 3: Cross multiply
    12,587.38x = 17,369.24 × 7,281.20
  4. Step 4: Simplify right side
    12,587.38x = 126,468,917.31
  5. Step 5: Solve for x
    x = 126,468,917.31/12,587.38
  6. Step 6: Final answer
    x = 10,047.28

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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.