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Finding the Fourth Proportional to 26,801.82, 36,988.78 and 14,869

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Solution

The fourth proportional to 26,801.82, 36,988.78 and 14,869 is: 20,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,801.82 : 36,988.78 = 14,869 : x
  2. Step 2: Convert to fraction form
    26,801.82/36,988.78 = 14,869/x
  3. Step 3: Cross multiply
    26,801.82x = 36,988.78 × 14,869
  4. Step 4: Simplify right side
    26,801.82x = 549,986,169.82
  5. Step 5: Solve for x
    x = 549,986,169.82/26,801.82
  6. Step 6: Final answer
    x = 20,520.48

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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.