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Finding the Fourth Proportional to 23,098.97, 34,644.27 and 6,454.88

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Solution

The fourth proportional to 23,098.97, 34,644.27 and 6,454.88 is: 9,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.97 : 34,644.27 = 6,454.88 : x
  2. Step 2: Convert to fraction form
    23,098.97/34,644.27 = 6,454.88/x
  3. Step 3: Cross multiply
    23,098.97x = 34,644.27 × 6,454.88
  4. Step 4: Simplify right side
    23,098.97x = 223,624,400.04
  5. Step 5: Solve for x
    x = 223,624,400.04/23,098.97
  6. Step 6: Final answer
    x = 9,681.14

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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.