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Finding the Fourth Proportional to 22,492.26, 31,024.92 and 13,542.57

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Solution

The fourth proportional to 22,492.26, 31,024.92 and 13,542.57 is: 18,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.26 : 31,024.92 = 13,542.57 : x
  2. Step 2: Convert to fraction form
    22,492.26/31,024.92 = 13,542.57/x
  3. Step 3: Cross multiply
    22,492.26x = 31,024.92 × 13,542.57
  4. Step 4: Simplify right side
    22,492.26x = 420,157,150.84
  5. Step 5: Solve for x
    x = 420,157,150.84/22,492.26
  6. Step 6: Final answer
    x = 18,680.08

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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.