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Finding the Fourth Proportional to 25,612.67, 38,423.41 and 7,842.89

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Solution

The fourth proportional to 25,612.67, 38,423.41 and 7,842.89 is: 11,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612.67 : 38,423.41 = 7,842.89 : x
  2. Step 2: Convert to fraction form
    25,612.67/38,423.41 = 7,842.89/x
  3. Step 3: Cross multiply
    25,612.67x = 38,423.41 × 7,842.89
  4. Step 4: Simplify right side
    25,612.67x = 301,350,698.62
  5. Step 5: Solve for x
    x = 301,350,698.62/25,612.67
  6. Step 6: Final answer
    x = 11,765.69

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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.