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Finding the Fourth Proportional to 16,340.81, 24,516.68 and 6,482.93

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Solution

The fourth proportional to 16,340.81, 24,516.68 and 6,482.93 is: 9,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.81 : 24,516.68 = 6,482.93 : x
  2. Step 2: Convert to fraction form
    16,340.81/24,516.68 = 6,482.93/x
  3. Step 3: Cross multiply
    16,340.81x = 24,516.68 × 6,482.93
  4. Step 4: Simplify right side
    16,340.81x = 158,939,920.27
  5. Step 5: Solve for x
    x = 158,939,920.27/16,340.81
  6. Step 6: Final answer
    x = 9,726.56

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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.