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Finding the Fourth Proportional to 25,472.80, 38,213.04 and 7,944

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Solution

The fourth proportional to 25,472.80, 38,213.04 and 7,944 is: 11,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472.80 : 38,213.04 = 7,944 : x
  2. Step 2: Convert to fraction form
    25,472.80/38,213.04 = 7,944/x
  3. Step 3: Cross multiply
    25,472.80x = 38,213.04 × 7,944
  4. Step 4: Simplify right side
    25,472.80x = 303,564,389.76
  5. Step 5: Solve for x
    x = 303,564,389.76/25,472.80
  6. Step 6: Final answer
    x = 11,917.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.