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Finding the Fourth Proportional to 25,678.16, 38,505.72 and 8,144.72

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Solution

The fourth proportional to 25,678.16, 38,505.72 and 8,144.72 is: 12,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.16 : 38,505.72 = 8,144.72 : x
  2. Step 2: Convert to fraction form
    25,678.16/38,505.72 = 8,144.72/x
  3. Step 3: Cross multiply
    25,678.16x = 38,505.72 × 8,144.72
  4. Step 4: Simplify right side
    25,678.16x = 313,618,307.80
  5. Step 5: Solve for x
    x = 313,618,307.80/25,678.16
  6. Step 6: Final answer
    x = 12,213.43

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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.