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Finding the Fourth Proportional to 27,537.68, 41,254.68 and 13,696.40

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Solution

The fourth proportional to 27,537.68, 41,254.68 and 13,696.40 is: 20,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.68 : 41,254.68 = 13,696.40 : x
  2. Step 2: Convert to fraction form
    27,537.68/41,254.68 = 13,696.40/x
  3. Step 3: Cross multiply
    27,537.68x = 41,254.68 × 13,696.40
  4. Step 4: Simplify right side
    27,537.68x = 565,040,599.15
  5. Step 5: Solve for x
    x = 565,040,599.15/27,537.68
  6. Step 6: Final answer
    x = 20,518.82

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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.