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Finding the Fourth Proportional to 25,428.98, 38,154 and 13,728.44

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Solution

The fourth proportional to 25,428.98, 38,154 and 13,728.44 is: 20,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,428.98 : 38,154 = 13,728.44 : x
  2. Step 2: Convert to fraction form
    25,428.98/38,154 = 13,728.44/x
  3. Step 3: Cross multiply
    25,428.98x = 38,154 × 13,728.44
  4. Step 4: Simplify right side
    25,428.98x = 523,794,899.76
  5. Step 5: Solve for x
    x = 523,794,899.76/25,428.98
  6. Step 6: Final answer
    x = 20,598.34

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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.