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Finding the Fourth Proportional to 15,102.77, 22,632.25 and 8,514.90

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Solution

The fourth proportional to 15,102.77, 22,632.25 and 8,514.90 is: 12,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.77 : 22,632.25 = 8,514.90 : x
  2. Step 2: Convert to fraction form
    15,102.77/22,632.25 = 8,514.90/x
  3. Step 3: Cross multiply
    15,102.77x = 22,632.25 × 8,514.90
  4. Step 4: Simplify right side
    15,102.77x = 192,711,345.53
  5. Step 5: Solve for x
    x = 192,711,345.53/15,102.77
  6. Step 6: Final answer
    x = 12,760.00

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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.