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Finding the Fourth Proportional to 16,471.40, 24,707.13 and 7,712.46

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Solution

The fourth proportional to 16,471.40, 24,707.13 and 7,712.46 is: 11,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.40 : 24,707.13 = 7,712.46 : x
  2. Step 2: Convert to fraction form
    16,471.40/24,707.13 = 7,712.46/x
  3. Step 3: Cross multiply
    16,471.40x = 24,707.13 × 7,712.46
  4. Step 4: Simplify right side
    16,471.40x = 190,552,722.92
  5. Step 5: Solve for x
    x = 190,552,722.92/16,471.40
  6. Step 6: Final answer
    x = 11,568.71

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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.