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Finding the Fourth Proportional to 25,693.92, 38,540.89 and 6,973.96

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Solution

The fourth proportional to 25,693.92, 38,540.89 and 6,973.96 is: 10,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.92 : 38,540.89 = 6,973.96 : x
  2. Step 2: Convert to fraction form
    25,693.92/38,540.89 = 6,973.96/x
  3. Step 3: Cross multiply
    25,693.92x = 38,540.89 × 6,973.96
  4. Step 4: Simplify right side
    25,693.92x = 268,782,432.52
  5. Step 5: Solve for x
    x = 268,782,432.52/25,693.92
  6. Step 6: Final answer
    x = 10,460.94

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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.