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Finding the Fourth Proportional to 16,863, 25,298.58 and 6,474.78

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Solution

The fourth proportional to 16,863, 25,298.58 and 6,474.78 is: 9,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863 : 25,298.58 = 6,474.78 : x
  2. Step 2: Convert to fraction form
    16,863/25,298.58 = 6,474.78/x
  3. Step 3: Cross multiply
    16,863x = 25,298.58 × 6,474.78
  4. Step 4: Simplify right side
    16,863x = 163,802,739.81
  5. Step 5: Solve for x
    x = 163,802,739.81/16,863
  6. Step 6: Final answer
    x = 9,713.74

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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.