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Finding the Fourth Proportional to 22,524.40, 31,083.51 and 12,452.86

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Solution

The fourth proportional to 22,524.40, 31,083.51 and 12,452.86 is: 17,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.40 : 31,083.51 = 12,452.86 : x
  2. Step 2: Convert to fraction form
    22,524.40/31,083.51 = 12,452.86/x
  3. Step 3: Cross multiply
    22,524.40x = 31,083.51 × 12,452.86
  4. Step 4: Simplify right side
    22,524.40x = 387,078,598.34
  5. Step 5: Solve for x
    x = 387,078,598.34/22,524.40
  6. Step 6: Final answer
    x = 17,184.86

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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.