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Finding the Fourth Proportional to 15,197.90, 22,781.35 and 5,835.51

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Solution

The fourth proportional to 15,197.90, 22,781.35 and 5,835.51 is: 8,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.90 : 22,781.35 = 5,835.51 : x
  2. Step 2: Convert to fraction form
    15,197.90/22,781.35 = 5,835.51/x
  3. Step 3: Cross multiply
    15,197.90x = 22,781.35 × 5,835.51
  4. Step 4: Simplify right side
    15,197.90x = 132,940,803.03
  5. Step 5: Solve for x
    x = 132,940,803.03/15,197.90
  6. Step 6: Final answer
    x = 8,747.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.