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Finding the Fourth Proportional to 25,660.68, 38,496.42 and 9,865.68

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Solution

The fourth proportional to 25,660.68, 38,496.42 and 9,865.68 is: 14,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,660.68 : 38,496.42 = 9,865.68 : x
  2. Step 2: Convert to fraction form
    25,660.68/38,496.42 = 9,865.68/x
  3. Step 3: Cross multiply
    25,660.68x = 38,496.42 × 9,865.68
  4. Step 4: Simplify right side
    25,660.68x = 379,793,360.87
  5. Step 5: Solve for x
    x = 379,793,360.87/25,660.68
  6. Step 6: Final answer
    x = 14,800.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.