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Finding the Fourth Proportional to 25,344, 34,974.72 and 15,408

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Solution

The fourth proportional to 25,344, 34,974.72 and 15,408 is: 21,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344 : 34,974.72 = 15,408 : x
  2. Step 2: Convert to fraction form
    25,344/34,974.72 = 15,408/x
  3. Step 3: Cross multiply
    25,344x = 34,974.72 × 15,408
  4. Step 4: Simplify right side
    25,344x = 538,890,485.76
  5. Step 5: Solve for x
    x = 538,890,485.76/25,344
  6. Step 6: Final answer
    x = 21,263.04

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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.