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Finding the Fourth Proportional to 17,306, 25,962.24 and 5,616.08

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Solution

The fourth proportional to 17,306, 25,962.24 and 5,616.08 is: 8,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,306 : 25,962.24 = 5,616.08 : x
  2. Step 2: Convert to fraction form
    17,306/25,962.24 = 5,616.08/x
  3. Step 3: Cross multiply
    17,306x = 25,962.24 × 5,616.08
  4. Step 4: Simplify right side
    17,306x = 145,806,016.82
  5. Step 5: Solve for x
    x = 145,806,016.82/17,306
  6. Step 6: Final answer
    x = 8,425.17

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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.