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Finding the Fourth Proportional to 15,801.20, 23,689.80 and 8,015.60

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Solution

The fourth proportional to 15,801.20, 23,689.80 and 8,015.60 is: 12,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.20 : 23,689.80 = 8,015.60 : x
  2. Step 2: Convert to fraction form
    15,801.20/23,689.80 = 8,015.60/x
  3. Step 3: Cross multiply
    15,801.20x = 23,689.80 × 8,015.60
  4. Step 4: Simplify right side
    15,801.20x = 189,887,960.88
  5. Step 5: Solve for x
    x = 189,887,960.88/15,801.20
  6. Step 6: Final answer
    x = 12,017.31

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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.