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Finding the Fourth Proportional to 12,176.24, 18,265.80 and 7,797.20

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Solution

The fourth proportional to 12,176.24, 18,265.80 and 7,797.20 is: 11,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.24 : 18,265.80 = 7,797.20 : x
  2. Step 2: Convert to fraction form
    12,176.24/18,265.80 = 7,797.20/x
  3. Step 3: Cross multiply
    12,176.24x = 18,265.80 × 7,797.20
  4. Step 4: Simplify right side
    12,176.24x = 142,422,095.76
  5. Step 5: Solve for x
    x = 142,422,095.76/12,176.24
  6. Step 6: Final answer
    x = 11,696.72

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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.