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Finding the Fourth Proportional to 27,943.98, 41,921.15 and 9,225.32

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Solution

The fourth proportional to 27,943.98, 41,921.15 and 9,225.32 is: 13,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.98 : 41,921.15 = 9,225.32 : x
  2. Step 2: Convert to fraction form
    27,943.98/41,921.15 = 9,225.32/x
  3. Step 3: Cross multiply
    27,943.98x = 41,921.15 × 9,225.32
  4. Step 4: Simplify right side
    27,943.98x = 386,735,767.79
  5. Step 5: Solve for x
    x = 386,735,767.79/27,943.98
  6. Step 6: Final answer
    x = 13,839.68

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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.