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Finding the Fourth Proportional to 26,859.80, 40,277.55 and 10,214.30

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Solution

The fourth proportional to 26,859.80, 40,277.55 and 10,214.30 is: 15,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,859.80 : 40,277.55 = 10,214.30 : x
  2. Step 2: Convert to fraction form
    26,859.80/40,277.55 = 10,214.30/x
  3. Step 3: Cross multiply
    26,859.80x = 40,277.55 × 10,214.30
  4. Step 4: Simplify right side
    26,859.80x = 411,406,978.97
  5. Step 5: Solve for x
    x = 411,406,978.97/26,859.80
  6. Step 6: Final answer
    x = 15,316.83

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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.