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Finding the Fourth Proportional to 25,586.72, 38,380.80 and 7,118.72

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Solution

The fourth proportional to 25,586.72, 38,380.80 and 7,118.72 is: 10,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.72 : 38,380.80 = 7,118.72 : x
  2. Step 2: Convert to fraction form
    25,586.72/38,380.80 = 7,118.72/x
  3. Step 3: Cross multiply
    25,586.72x = 38,380.80 × 7,118.72
  4. Step 4: Simplify right side
    25,586.72x = 273,222,168.58
  5. Step 5: Solve for x
    x = 273,222,168.58/25,586.72
  6. Step 6: Final answer
    x = 10,678.28

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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.