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Finding the Fourth Proportional to 26,167.86, 39,252.25 and 7,448.38

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Solution

The fourth proportional to 26,167.86, 39,252.25 and 7,448.38 is: 11,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,167.86 : 39,252.25 = 7,448.38 : x
  2. Step 2: Convert to fraction form
    26,167.86/39,252.25 = 7,448.38/x
  3. Step 3: Cross multiply
    26,167.86x = 39,252.25 × 7,448.38
  4. Step 4: Simplify right side
    26,167.86x = 292,365,636.61
  5. Step 5: Solve for x
    x = 292,365,636.61/26,167.86
  6. Step 6: Final answer
    x = 11,172.70

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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.