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Finding the Fourth Proportional to 26,015.70, 39,023.56 and 10,422.40

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Solution

The fourth proportional to 26,015.70, 39,023.56 and 10,422.40 is: 15,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,015.70 : 39,023.56 = 10,422.40 : x
  2. Step 2: Convert to fraction form
    26,015.70/39,023.56 = 10,422.40/x
  3. Step 3: Cross multiply
    26,015.70x = 39,023.56 × 10,422.40
  4. Step 4: Simplify right side
    26,015.70x = 406,719,151.74
  5. Step 5: Solve for x
    x = 406,719,151.74/26,015.70
  6. Step 6: Final answer
    x = 15,633.60

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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.