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Finding the Fourth Proportional to 25,816.56, 38,724.03 and 7,348.56

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Solution

The fourth proportional to 25,816.56, 38,724.03 and 7,348.56 is: 11,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816.56 : 38,724.03 = 7,348.56 : x
  2. Step 2: Convert to fraction form
    25,816.56/38,724.03 = 7,348.56/x
  3. Step 3: Cross multiply
    25,816.56x = 38,724.03 × 7,348.56
  4. Step 4: Simplify right side
    25,816.56x = 284,565,857.90
  5. Step 5: Solve for x
    x = 284,565,857.90/25,816.56
  6. Step 6: Final answer
    x = 11,022.61

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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.