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Finding the Fourth Proportional to 12,424.92, 17,144.22 and 7,047.10

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Solution

The fourth proportional to 12,424.92, 17,144.22 and 7,047.10 is: 9,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.92 : 17,144.22 = 7,047.10 : x
  2. Step 2: Convert to fraction form
    12,424.92/17,144.22 = 7,047.10/x
  3. Step 3: Cross multiply
    12,424.92x = 17,144.22 × 7,047.10
  4. Step 4: Simplify right side
    12,424.92x = 120,817,032.76
  5. Step 5: Solve for x
    x = 120,817,032.76/12,424.92
  6. Step 6: Final answer
    x = 9,723.77

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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.