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Finding the Fourth Proportional to 15,367.20, 23,044.72 and 6,596

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Solution

The fourth proportional to 15,367.20, 23,044.72 and 6,596 is: 9,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,367.20 : 23,044.72 = 6,596 : x
  2. Step 2: Convert to fraction form
    15,367.20/23,044.72 = 6,596/x
  3. Step 3: Cross multiply
    15,367.20x = 23,044.72 × 6,596
  4. Step 4: Simplify right side
    15,367.20x = 152,002,973.12
  5. Step 5: Solve for x
    x = 152,002,973.12/15,367.20
  6. Step 6: Final answer
    x = 9,891.39

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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.