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Finding the Fourth Proportional to 26,641.08, 36,767.10 and 16,029

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Solution

The fourth proportional to 26,641.08, 36,767.10 and 16,029 is: 22,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,641.08 : 36,767.10 = 16,029 : x
  2. Step 2: Convert to fraction form
    26,641.08/36,767.10 = 16,029/x
  3. Step 3: Cross multiply
    26,641.08x = 36,767.10 × 16,029
  4. Step 4: Simplify right side
    26,641.08x = 589,339,845.90
  5. Step 5: Solve for x
    x = 589,339,845.90/26,641.08
  6. Step 6: Final answer
    x = 22,121.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.