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Finding the Fourth Proportional to 15,233.86, 22,855.98 and 8,214.55

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Solution

The fourth proportional to 15,233.86, 22,855.98 and 8,214.55 is: 12,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.86 : 22,855.98 = 8,214.55 : x
  2. Step 2: Convert to fraction form
    15,233.86/22,855.98 = 8,214.55/x
  3. Step 3: Cross multiply
    15,233.86x = 22,855.98 × 8,214.55
  4. Step 4: Simplify right side
    15,233.86x = 187,751,590.51
  5. Step 5: Solve for x
    x = 187,751,590.51/15,233.86
  6. Step 6: Final answer
    x = 12,324.62

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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.