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Finding the Fourth Proportional to 25,459.28, 38,147.88 and 13,778

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Solution

The fourth proportional to 25,459.28, 38,147.88 and 13,778 is: 20,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,459.28 : 38,147.88 = 13,778 : x
  2. Step 2: Convert to fraction form
    25,459.28/38,147.88 = 13,778/x
  3. Step 3: Cross multiply
    25,459.28x = 38,147.88 × 13,778
  4. Step 4: Simplify right side
    25,459.28x = 525,601,490.64
  5. Step 5: Solve for x
    x = 525,601,490.64/25,459.28
  6. Step 6: Final answer
    x = 20,644.79

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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.