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Finding the Fourth Proportional to 15,793.48, 23,685.18 and 6,433.48

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Solution

The fourth proportional to 15,793.48, 23,685.18 and 6,433.48 is: 9,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,793.48 : 23,685.18 = 6,433.48 : x
  2. Step 2: Convert to fraction form
    15,793.48/23,685.18 = 6,433.48/x
  3. Step 3: Cross multiply
    15,793.48x = 23,685.18 × 6,433.48
  4. Step 4: Simplify right side
    15,793.48x = 152,378,131.83
  5. Step 5: Solve for x
    x = 152,378,131.83/15,793.48
  6. Step 6: Final answer
    x = 9,648.17

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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.