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Finding the Fourth Proportional to 27,103.96, 40,647.50 and 9,569.66

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Solution

The fourth proportional to 27,103.96, 40,647.50 and 9,569.66 is: 14,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,103.96 : 40,647.50 = 9,569.66 : x
  2. Step 2: Convert to fraction form
    27,103.96/40,647.50 = 9,569.66/x
  3. Step 3: Cross multiply
    27,103.96x = 40,647.50 × 9,569.66
  4. Step 4: Simplify right side
    27,103.96x = 388,982,754.85
  5. Step 5: Solve for x
    x = 388,982,754.85/27,103.96
  6. Step 6: Final answer
    x = 14,351.51

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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.