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Finding the Fourth Proportional to 16,581.12, 24,864 and 5,485.76

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Solution

The fourth proportional to 16,581.12, 24,864 and 5,485.76 is: 8,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.12 : 24,864 = 5,485.76 : x
  2. Step 2: Convert to fraction form
    16,581.12/24,864 = 5,485.76/x
  3. Step 3: Cross multiply
    16,581.12x = 24,864 × 5,485.76
  4. Step 4: Simplify right side
    16,581.12x = 136,397,936.64
  5. Step 5: Solve for x
    x = 136,397,936.64/16,581.12
  6. Step 6: Final answer
    x = 8,226.10

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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.