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Finding the Fourth Proportional to 22,492.86, 31,034.55 and 13,538.46

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Solution

The fourth proportional to 22,492.86, 31,034.55 and 13,538.46 is: 18,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.86 : 31,034.55 = 13,538.46 : x
  2. Step 2: Convert to fraction form
    22,492.86/31,034.55 = 13,538.46/x
  3. Step 3: Cross multiply
    22,492.86x = 31,034.55 × 13,538.46
  4. Step 4: Simplify right side
    22,492.86x = 420,160,013.79
  5. Step 5: Solve for x
    x = 420,160,013.79/22,492.86
  6. Step 6: Final answer
    x = 18,679.71

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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.