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Finding the Fourth Proportional to 12,886.20, 17,815.46 and 9,523.71

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Solution

The fourth proportional to 12,886.20, 17,815.46 and 9,523.71 is: 13,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.20 : 17,815.46 = 9,523.71 : x
  2. Step 2: Convert to fraction form
    12,886.20/17,815.46 = 9,523.71/x
  3. Step 3: Cross multiply
    12,886.20x = 17,815.46 × 9,523.71
  4. Step 4: Simplify right side
    12,886.20x = 169,669,226.94
  5. Step 5: Solve for x
    x = 169,669,226.94/12,886.20
  6. Step 6: Final answer
    x = 13,166.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.