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Finding the Fourth Proportional to 16,281.68, 24,424.28 and 5,891.12

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Solution

The fourth proportional to 16,281.68, 24,424.28 and 5,891.12 is: 8,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.68 : 24,424.28 = 5,891.12 : x
  2. Step 2: Convert to fraction form
    16,281.68/24,424.28 = 5,891.12/x
  3. Step 3: Cross multiply
    16,281.68x = 24,424.28 × 5,891.12
  4. Step 4: Simplify right side
    16,281.68x = 143,886,364.39
  5. Step 5: Solve for x
    x = 143,886,364.39/16,281.68
  6. Step 6: Final answer
    x = 8,837.32

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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.