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Finding the Fourth Proportional to 27,841.94, 41,767.32 and 9,117.62

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Solution

The fourth proportional to 27,841.94, 41,767.32 and 9,117.62 is: 13,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.94 : 41,767.32 = 9,117.62 : x
  2. Step 2: Convert to fraction form
    27,841.94/41,767.32 = 9,117.62/x
  3. Step 3: Cross multiply
    27,841.94x = 41,767.32 × 9,117.62
  4. Step 4: Simplify right side
    27,841.94x = 380,818,552.18
  5. Step 5: Solve for x
    x = 380,818,552.18/27,841.94
  6. Step 6: Final answer
    x = 13,677.87

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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.