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Finding the Fourth Proportional to 26,092.49, 39,106.66 and 12,033

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Solution

The fourth proportional to 26,092.49, 39,106.66 and 12,033 is: 18,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,092.49 : 39,106.66 = 12,033 : x
  2. Step 2: Convert to fraction form
    26,092.49/39,106.66 = 12,033/x
  3. Step 3: Cross multiply
    26,092.49x = 39,106.66 × 12,033
  4. Step 4: Simplify right side
    26,092.49x = 470,570,454.82
  5. Step 5: Solve for x
    x = 470,570,454.82/26,092.49
  6. Step 6: Final answer
    x = 18,034.71

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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.