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Finding the Fourth Proportional to 12,472.17, 17,219.69 and 9,634.60

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Solution

The fourth proportional to 12,472.17, 17,219.69 and 9,634.60 is: 13,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.17 : 17,219.69 = 9,634.60 : x
  2. Step 2: Convert to fraction form
    12,472.17/17,219.69 = 9,634.60/x
  3. Step 3: Cross multiply
    12,472.17x = 17,219.69 × 9,634.60
  4. Step 4: Simplify right side
    12,472.17x = 165,904,825.27
  5. Step 5: Solve for x
    x = 165,904,825.27/12,472.17
  6. Step 6: Final answer
    x = 13,302.00

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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.