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Finding the Fourth Proportional to 26,006.33, 38,986.08 and 9,354.66

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Solution

The fourth proportional to 26,006.33, 38,986.08 and 9,354.66 is: 14,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.33 : 38,986.08 = 9,354.66 : x
  2. Step 2: Convert to fraction form
    26,006.33/38,986.08 = 9,354.66/x
  3. Step 3: Cross multiply
    26,006.33x = 38,986.08 × 9,354.66
  4. Step 4: Simplify right side
    26,006.33x = 364,701,523.13
  5. Step 5: Solve for x
    x = 364,701,523.13/26,006.33
  6. Step 6: Final answer
    x = 14,023.57

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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.