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Finding the Fourth Proportional to 25,742.92, 38,607.42 and 9,100.76

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Solution

The fourth proportional to 25,742.92, 38,607.42 and 9,100.76 is: 13,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,742.92 : 38,607.42 = 9,100.76 : x
  2. Step 2: Convert to fraction form
    25,742.92/38,607.42 = 9,100.76/x
  3. Step 3: Cross multiply
    25,742.92x = 38,607.42 × 9,100.76
  4. Step 4: Simplify right side
    25,742.92x = 351,356,863.64
  5. Step 5: Solve for x
    x = 351,356,863.64/25,742.92
  6. Step 6: Final answer
    x = 13,648.68

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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.