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Finding the Fourth Proportional to 17,424.92, 24,039.84 and 10,705.16

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Solution

The fourth proportional to 17,424.92, 24,039.84 and 10,705.16 is: 14,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.92 : 24,039.84 = 10,705.16 : x
  2. Step 2: Convert to fraction form
    17,424.92/24,039.84 = 10,705.16/x
  3. Step 3: Cross multiply
    17,424.92x = 24,039.84 × 10,705.16
  4. Step 4: Simplify right side
    17,424.92x = 257,350,333.57
  5. Step 5: Solve for x
    x = 257,350,333.57/17,424.92
  6. Step 6: Final answer
    x = 14,769.10

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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.