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Finding the Fourth Proportional to 26,167.61, 39,251.87 and 7,448.13

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Solution

The fourth proportional to 26,167.61, 39,251.87 and 7,448.13 is: 11,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,167.61 : 39,251.87 = 7,448.13 : x
  2. Step 2: Convert to fraction form
    26,167.61/39,251.87 = 7,448.13/x
  3. Step 3: Cross multiply
    26,167.61x = 39,251.87 × 7,448.13
  4. Step 4: Simplify right side
    26,167.61x = 292,353,021.19
  5. Step 5: Solve for x
    x = 292,353,021.19/26,167.61
  6. Step 6: Final answer
    x = 11,172.32

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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.