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Finding the Fourth Proportional to 26,748.80, 40,127.75 and 13,428.15

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Solution

The fourth proportional to 26,748.80, 40,127.75 and 13,428.15 is: 20,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,748.80 : 40,127.75 = 13,428.15 : x
  2. Step 2: Convert to fraction form
    26,748.80/40,127.75 = 13,428.15/x
  3. Step 3: Cross multiply
    26,748.80x = 40,127.75 × 13,428.15
  4. Step 4: Simplify right side
    26,748.80x = 538,841,379.02
  5. Step 5: Solve for x
    x = 538,841,379.02/26,748.80
  6. Step 6: Final answer
    x = 20,144.51

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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.