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Finding the Fourth Proportional to 27,407.52, 41,101.60 and 9,872.64

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Solution

The fourth proportional to 27,407.52, 41,101.60 and 9,872.64 is: 14,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.52 : 41,101.60 = 9,872.64 : x
  2. Step 2: Convert to fraction form
    27,407.52/41,101.60 = 9,872.64/x
  3. Step 3: Cross multiply
    27,407.52x = 41,101.60 × 9,872.64
  4. Step 4: Simplify right side
    27,407.52x = 405,781,300.22
  5. Step 5: Solve for x
    x = 405,781,300.22/27,407.52
  6. Step 6: Final answer
    x = 14,805.47

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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.