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Finding the Fourth Proportional to 27,225.24, 40,841.16 and 9,696.84

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Solution

The fourth proportional to 27,225.24, 40,841.16 and 9,696.84 is: 14,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.24 : 40,841.16 = 9,696.84 : x
  2. Step 2: Convert to fraction form
    27,225.24/40,841.16 = 9,696.84/x
  3. Step 3: Cross multiply
    27,225.24x = 40,841.16 × 9,696.84
  4. Step 4: Simplify right side
    27,225.24x = 396,030,193.93
  5. Step 5: Solve for x
    x = 396,030,193.93/27,225.24
  6. Step 6: Final answer
    x = 14,546.44

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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.