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Finding the Fourth Proportional to 12,753.91, 17,557.31 and 10,512.23

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Solution

The fourth proportional to 12,753.91, 17,557.31 and 10,512.23 is: 14,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.91 : 17,557.31 = 10,512.23 : x
  2. Step 2: Convert to fraction form
    12,753.91/17,557.31 = 10,512.23/x
  3. Step 3: Cross multiply
    12,753.91x = 17,557.31 × 10,512.23
  4. Step 4: Simplify right side
    12,753.91x = 184,566,428.34
  5. Step 5: Solve for x
    x = 184,566,428.34/12,753.91
  6. Step 6: Final answer
    x = 14,471.37

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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.