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Finding the Fourth Proportional to 22,524.86, 31,083.39 and 12,452.66

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Solution

The fourth proportional to 22,524.86, 31,083.39 and 12,452.66 is: 17,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.86 : 31,083.39 = 12,452.66 : x
  2. Step 2: Convert to fraction form
    22,524.86/31,083.39 = 12,452.66/x
  3. Step 3: Cross multiply
    22,524.86x = 31,083.39 × 12,452.66
  4. Step 4: Simplify right side
    22,524.86x = 387,070,887.32
  5. Step 5: Solve for x
    x = 387,070,887.32/22,524.86
  6. Step 6: Final answer
    x = 17,184.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.