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Finding the Fourth Proportional to 27,278.10, 40,922.69 and 9,747.47

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Solution

The fourth proportional to 27,278.10, 40,922.69 and 9,747.47 is: 14,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,278.10 : 40,922.69 = 9,747.47 : x
  2. Step 2: Convert to fraction form
    27,278.10/40,922.69 = 9,747.47/x
  3. Step 3: Cross multiply
    27,278.10x = 40,922.69 × 9,747.47
  4. Step 4: Simplify right side
    27,278.10x = 398,892,746.66
  5. Step 5: Solve for x
    x = 398,892,746.66/27,278.10
  6. Step 6: Final answer
    x = 14,623.19

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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.