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Finding the Fourth Proportional to 17,311.86, 25,947.18 and 9,921.42

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Solution

The fourth proportional to 17,311.86, 25,947.18 and 9,921.42 is: 14,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.86 : 25,947.18 = 9,921.42 : x
  2. Step 2: Convert to fraction form
    17,311.86/25,947.18 = 9,921.42/x
  3. Step 3: Cross multiply
    17,311.86x = 25,947.18 × 9,921.42
  4. Step 4: Simplify right side
    17,311.86x = 257,432,870.60
  5. Step 5: Solve for x
    x = 257,432,870.60/17,311.86
  6. Step 6: Final answer
    x = 14,870.32

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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.