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Finding the Fourth Proportional to 27,661.18, 41,503.17 and 9,894.26

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Solution

The fourth proportional to 27,661.18, 41,503.17 and 9,894.26 is: 14,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.18 : 41,503.17 = 9,894.26 : x
  2. Step 2: Convert to fraction form
    27,661.18/41,503.17 = 9,894.26/x
  3. Step 3: Cross multiply
    27,661.18x = 41,503.17 × 9,894.26
  4. Step 4: Simplify right side
    27,661.18x = 410,643,154.80
  5. Step 5: Solve for x
    x = 410,643,154.80/27,661.18
  6. Step 6: Final answer
    x = 14,845.47

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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.