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Finding the Fourth Proportional to 16,856.80, 25,281.42 and 9,464.56

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Solution

The fourth proportional to 16,856.80, 25,281.42 and 9,464.56 is: 14,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.80 : 25,281.42 = 9,464.56 : x
  2. Step 2: Convert to fraction form
    16,856.80/25,281.42 = 9,464.56/x
  3. Step 3: Cross multiply
    16,856.80x = 25,281.42 × 9,464.56
  4. Step 4: Simplify right side
    16,856.80x = 239,277,516.48
  5. Step 5: Solve for x
    x = 239,277,516.48/16,856.80
  6. Step 6: Final answer
    x = 14,194.72

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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.