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Finding the Fourth Proportional to 25,693.80, 38,516.40 and 15,171.90

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Solution

The fourth proportional to 25,693.80, 38,516.40 and 15,171.90 is: 22,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.80 : 38,516.40 = 15,171.90 : x
  2. Step 2: Convert to fraction form
    25,693.80/38,516.40 = 15,171.90/x
  3. Step 3: Cross multiply
    25,693.80x = 38,516.40 × 15,171.90
  4. Step 4: Simplify right side
    25,693.80x = 584,366,969.16
  5. Step 5: Solve for x
    x = 584,366,969.16/25,693.80
  6. Step 6: Final answer
    x = 22,743.50

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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.