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Finding the Fourth Proportional to 15,225.86, 22,806.38 and 8,648.66

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Solution

The fourth proportional to 15,225.86, 22,806.38 and 8,648.66 is: 12,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,225.86 : 22,806.38 = 8,648.66 : x
  2. Step 2: Convert to fraction form
    15,225.86/22,806.38 = 8,648.66/x
  3. Step 3: Cross multiply
    15,225.86x = 22,806.38 × 8,648.66
  4. Step 4: Simplify right side
    15,225.86x = 197,244,469.18
  5. Step 5: Solve for x
    x = 197,244,469.18/15,225.86
  6. Step 6: Final answer
    x = 12,954.57

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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.