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Finding the Fourth Proportional to 15,872.40, 23,772.15 and 9,311.40

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Solution

The fourth proportional to 15,872.40, 23,772.15 and 9,311.40 is: 13,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.40 : 23,772.15 = 9,311.40 : x
  2. Step 2: Convert to fraction form
    15,872.40/23,772.15 = 9,311.40/x
  3. Step 3: Cross multiply
    15,872.40x = 23,772.15 × 9,311.40
  4. Step 4: Simplify right side
    15,872.40x = 221,351,997.51
  5. Step 5: Solve for x
    x = 221,351,997.51/15,872.40
  6. Step 6: Final answer
    x = 13,945.72

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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.