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Finding the Fourth Proportional to 12,463.17, 18,691.59 and 3,696.06

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Solution

The fourth proportional to 12,463.17, 18,691.59 and 3,696.06 is: 5,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.17 : 18,691.59 = 3,696.06 : x
  2. Step 2: Convert to fraction form
    12,463.17/18,691.59 = 3,696.06/x
  3. Step 3: Cross multiply
    12,463.17x = 18,691.59 × 3,696.06
  4. Step 4: Simplify right side
    12,463.17x = 69,085,238.14
  5. Step 5: Solve for x
    x = 69,085,238.14/12,463.17
  6. Step 6: Final answer
    x = 5,543.15

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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.