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Finding the Fourth Proportional to 16,344.13, 24,510.66 and 5,813.68

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Solution

The fourth proportional to 16,344.13, 24,510.66 and 5,813.68 is: 8,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.13 : 24,510.66 = 5,813.68 : x
  2. Step 2: Convert to fraction form
    16,344.13/24,510.66 = 5,813.68/x
  3. Step 3: Cross multiply
    16,344.13x = 24,510.66 × 5,813.68
  4. Step 4: Simplify right side
    16,344.13x = 142,497,133.83
  5. Step 5: Solve for x
    x = 142,497,133.83/16,344.13
  6. Step 6: Final answer
    x = 8,718.55

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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.