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Finding the Fourth Proportional to 25,885.44, 38,833.92 and 7,416

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Solution

The fourth proportional to 25,885.44, 38,833.92 and 7,416 is: 11,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.44 : 38,833.92 = 7,416 : x
  2. Step 2: Convert to fraction form
    25,885.44/38,833.92 = 7,416/x
  3. Step 3: Cross multiply
    25,885.44x = 38,833.92 × 7,416
  4. Step 4: Simplify right side
    25,885.44x = 287,992,350.72
  5. Step 5: Solve for x
    x = 287,992,350.72/25,885.44
  6. Step 6: Final answer
    x = 11,125.65

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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.