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Finding the Fourth Proportional to 12,721.13, 17,557.22 and 7,414.93

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Solution

The fourth proportional to 12,721.13, 17,557.22 and 7,414.93 is: 10,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.13 : 17,557.22 = 7,414.93 : x
  2. Step 2: Convert to fraction form
    12,721.13/17,557.22 = 7,414.93/x
  3. Step 3: Cross multiply
    12,721.13x = 17,557.22 × 7,414.93
  4. Step 4: Simplify right side
    12,721.13x = 130,185,557.29
  5. Step 5: Solve for x
    x = 130,185,557.29/12,721.13
  6. Step 6: Final answer
    x = 10,233.80

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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.