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Finding the Fourth Proportional to 22,524.85, 31,083.36 and 12,452.63

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Solution

The fourth proportional to 22,524.85, 31,083.36 and 12,452.63 is: 17,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.85 : 31,083.36 = 12,452.63 : x
  2. Step 2: Convert to fraction form
    22,524.85/31,083.36 = 12,452.63/x
  3. Step 3: Cross multiply
    22,524.85x = 31,083.36 × 12,452.63
  4. Step 4: Simplify right side
    22,524.85x = 387,069,581.24
  5. Step 5: Solve for x
    x = 387,069,581.24/22,524.85
  6. Step 6: Final answer
    x = 17,184.12

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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.