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Finding the Fourth Proportional to 27,538.41, 41,302.17 and 13,492.47

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Solution

The fourth proportional to 27,538.41, 41,302.17 and 13,492.47 is: 20,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.41 : 41,302.17 = 13,492.47 : x
  2. Step 2: Convert to fraction form
    27,538.41/41,302.17 = 13,492.47/x
  3. Step 3: Cross multiply
    27,538.41x = 41,302.17 × 13,492.47
  4. Step 4: Simplify right side
    27,538.41x = 557,268,289.66
  5. Step 5: Solve for x
    x = 557,268,289.66/27,538.41
  6. Step 6: Final answer
    x = 20,236.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.