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Finding the Fourth Proportional to 16,340.14, 24,506.56 and 6,476.77

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Solution

The fourth proportional to 16,340.14, 24,506.56 and 6,476.77 is: 9,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.14 : 24,506.56 = 6,476.77 : x
  2. Step 2: Convert to fraction form
    16,340.14/24,506.56 = 6,476.77/x
  3. Step 3: Cross multiply
    16,340.14x = 24,506.56 × 6,476.77
  4. Step 4: Simplify right side
    16,340.14x = 158,723,352.61
  5. Step 5: Solve for x
    x = 158,723,352.61/16,340.14
  6. Step 6: Final answer
    x = 9,713.71

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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.