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Finding the Fourth Proportional to 12,742.38, 17,585.91 and 7,438.50

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Solution

The fourth proportional to 12,742.38, 17,585.91 and 7,438.50 is: 10,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.38 : 17,585.91 = 7,438.50 : x
  2. Step 2: Convert to fraction form
    12,742.38/17,585.91 = 7,438.50/x
  3. Step 3: Cross multiply
    12,742.38x = 17,585.91 × 7,438.50
  4. Step 4: Simplify right side
    12,742.38x = 130,812,791.54
  5. Step 5: Solve for x
    x = 130,812,791.54/12,742.38
  6. Step 6: Final answer
    x = 10,265.96

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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.