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Finding the Fourth Proportional to 15,414, 23,107.12 and 5,546.34

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Solution

The fourth proportional to 15,414, 23,107.12 and 5,546.34 is: 8,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414 : 23,107.12 = 5,546.34 : x
  2. Step 2: Convert to fraction form
    15,414/23,107.12 = 5,546.34/x
  3. Step 3: Cross multiply
    15,414x = 23,107.12 × 5,546.34
  4. Step 4: Simplify right side
    15,414x = 128,159,943.94
  5. Step 5: Solve for x
    x = 128,159,943.94/15,414
  6. Step 6: Final answer
    x = 8,314.52

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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.