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Finding the Fourth Proportional to 16,494.17, 24,754.55 and 9,382.77

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Solution

The fourth proportional to 16,494.17, 24,754.55 and 9,382.77 is: 14,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.17 : 24,754.55 = 9,382.77 : x
  2. Step 2: Convert to fraction form
    16,494.17/24,754.55 = 9,382.77/x
  3. Step 3: Cross multiply
    16,494.17x = 24,754.55 × 9,382.77
  4. Step 4: Simplify right side
    16,494.17x = 232,266,202.19
  5. Step 5: Solve for x
    x = 232,266,202.19/16,494.17
  6. Step 6: Final answer
    x = 14,081.72

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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.