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Finding the Fourth Proportional to 15,827.40, 21,843.14 and 9,115.20

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Solution

The fourth proportional to 15,827.40, 21,843.14 and 9,115.20 is: 12,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.40 : 21,843.14 = 9,115.20 : x
  2. Step 2: Convert to fraction form
    15,827.40/21,843.14 = 9,115.20/x
  3. Step 3: Cross multiply
    15,827.40x = 21,843.14 × 9,115.20
  4. Step 4: Simplify right side
    15,827.40x = 199,104,544.15
  5. Step 5: Solve for x
    x = 199,104,544.15/15,827.40
  6. Step 6: Final answer
    x = 12,579.74

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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.