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Finding the Fourth Proportional to 27,823.52, 41,733.86 and 9,101.12

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Solution

The fourth proportional to 27,823.52, 41,733.86 and 9,101.12 is: 13,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.52 : 41,733.86 = 9,101.12 : x
  2. Step 2: Convert to fraction form
    27,823.52/41,733.86 = 9,101.12/x
  3. Step 3: Cross multiply
    27,823.52x = 41,733.86 × 9,101.12
  4. Step 4: Simplify right side
    27,823.52x = 379,824,613.75
  5. Step 5: Solve for x
    x = 379,824,613.75/27,823.52
  6. Step 6: Final answer
    x = 13,651.21

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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.