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Finding the Fourth Proportional to 15,514.87, 23,286.88 and 8,124.63

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Solution

The fourth proportional to 15,514.87, 23,286.88 and 8,124.63 is: 12,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514.87 : 23,286.88 = 8,124.63 : x
  2. Step 2: Convert to fraction form
    15,514.87/23,286.88 = 8,124.63/x
  3. Step 3: Cross multiply
    15,514.87x = 23,286.88 × 8,124.63
  4. Step 4: Simplify right side
    15,514.87x = 189,197,337.67
  5. Step 5: Solve for x
    x = 189,197,337.67/15,514.87
  6. Step 6: Final answer
    x = 12,194.58

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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.