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Finding the Fourth Proportional to 27,538.68, 41,256.18 and 13,697.40

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Solution

The fourth proportional to 27,538.68, 41,256.18 and 13,697.40 is: 20,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.68 : 41,256.18 = 13,697.40 : x
  2. Step 2: Convert to fraction form
    27,538.68/41,256.18 = 13,697.40/x
  3. Step 3: Cross multiply
    27,538.68x = 41,256.18 × 13,697.40
  4. Step 4: Simplify right side
    27,538.68x = 565,102,399.93
  5. Step 5: Solve for x
    x = 565,102,399.93/27,538.68
  6. Step 6: Final answer
    x = 20,520.32

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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.