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Finding the Fourth Proportional to 12,497, 17,244.06 and 10,616.12

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Solution

The fourth proportional to 12,497, 17,244.06 and 10,616.12 is: 14,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497 : 17,244.06 = 10,616.12 : x
  2. Step 2: Convert to fraction form
    12,497/17,244.06 = 10,616.12/x
  3. Step 3: Cross multiply
    12,497x = 17,244.06 × 10,616.12
  4. Step 4: Simplify right side
    12,497x = 183,065,010.25
  5. Step 5: Solve for x
    x = 183,065,010.25/12,497
  6. Step 6: Final answer
    x = 14,648.72

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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.