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Finding the Fourth Proportional to 14,876.20, 22,278.54 and 7,471

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Solution

The fourth proportional to 14,876.20, 22,278.54 and 7,471 is: 11,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.20 : 22,278.54 = 7,471 : x
  2. Step 2: Convert to fraction form
    14,876.20/22,278.54 = 7,471/x
  3. Step 3: Cross multiply
    14,876.20x = 22,278.54 × 7,471
  4. Step 4: Simplify right side
    14,876.20x = 166,442,972.34
  5. Step 5: Solve for x
    x = 166,442,972.34/14,876.20
  6. Step 6: Final answer
    x = 11,188.54

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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.