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Finding the Fourth Proportional to 16,471.08, 24,706.66 and 7,712.15

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Solution

The fourth proportional to 16,471.08, 24,706.66 and 7,712.15 is: 11,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.08 : 24,706.66 = 7,712.15 : x
  2. Step 2: Convert to fraction form
    16,471.08/24,706.66 = 7,712.15/x
  3. Step 3: Cross multiply
    16,471.08x = 24,706.66 × 7,712.15
  4. Step 4: Simplify right side
    16,471.08x = 190,541,467.92
  5. Step 5: Solve for x
    x = 190,541,467.92/16,471.08
  6. Step 6: Final answer
    x = 11,568.24

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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.