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Finding the Fourth Proportional to 25,671.68, 38,499.96 and 9,028.64

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Solution

The fourth proportional to 25,671.68, 38,499.96 and 9,028.64 is: 13,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,671.68 : 38,499.96 = 9,028.64 : x
  2. Step 2: Convert to fraction form
    25,671.68/38,499.96 = 9,028.64/x
  3. Step 3: Cross multiply
    25,671.68x = 38,499.96 × 9,028.64
  4. Step 4: Simplify right side
    25,671.68x = 347,602,278.85
  5. Step 5: Solve for x
    x = 347,602,278.85/25,671.68
  6. Step 6: Final answer
    x = 13,540.30

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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.