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Finding the Fourth Proportional to 26,149.98, 39,224.63 and 6,428.71

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Solution

The fourth proportional to 26,149.98, 39,224.63 and 6,428.71 is: 9,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.98 : 39,224.63 = 6,428.71 : x
  2. Step 2: Convert to fraction form
    26,149.98/39,224.63 = 6,428.71/x
  3. Step 3: Cross multiply
    26,149.98x = 39,224.63 × 6,428.71
  4. Step 4: Simplify right side
    26,149.98x = 252,163,771.13
  5. Step 5: Solve for x
    x = 252,163,771.13/26,149.98
  6. Step 6: Final answer
    x = 9,642.98

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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.