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Finding the Fourth Proportional to 25,478.68, 38,232.60 and 9,894.28

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Solution

The fourth proportional to 25,478.68, 38,232.60 and 9,894.28 is: 14,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.68 : 38,232.60 = 9,894.28 : x
  2. Step 2: Convert to fraction form
    25,478.68/38,232.60 = 9,894.28/x
  3. Step 3: Cross multiply
    25,478.68x = 38,232.60 × 9,894.28
  4. Step 4: Simplify right side
    25,478.68x = 378,284,049.53
  5. Step 5: Solve for x
    x = 378,284,049.53/25,478.68
  6. Step 6: Final answer
    x = 14,847.08

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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.