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Finding the Fourth Proportional to 25,154.95, 34,712.15 and 13,824.20

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Solution

The fourth proportional to 25,154.95, 34,712.15 and 13,824.20 is: 19,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154.95 : 34,712.15 = 13,824.20 : x
  2. Step 2: Convert to fraction form
    25,154.95/34,712.15 = 13,824.20/x
  3. Step 3: Cross multiply
    25,154.95x = 34,712.15 × 13,824.20
  4. Step 4: Simplify right side
    25,154.95x = 479,867,704.03
  5. Step 5: Solve for x
    x = 479,867,704.03/25,154.95
  6. Step 6: Final answer
    x = 19,076.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.