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Finding the Fourth Proportional to 15,102.27, 22,631.50 and 8,514.40

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Solution

The fourth proportional to 15,102.27, 22,631.50 and 8,514.40 is: 12,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.27 : 22,631.50 = 8,514.40 : x
  2. Step 2: Convert to fraction form
    15,102.27/22,631.50 = 8,514.40/x
  3. Step 3: Cross multiply
    15,102.27x = 22,631.50 × 8,514.40
  4. Step 4: Simplify right side
    15,102.27x = 192,693,643.60
  5. Step 5: Solve for x
    x = 192,693,643.60/15,102.27
  6. Step 6: Final answer
    x = 12,759.25

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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.