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Finding the Fourth Proportional to 23,794.87, 32,822.02 and 15,308.04

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Solution

The fourth proportional to 23,794.87, 32,822.02 and 15,308.04 is: 21,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.87 : 32,822.02 = 15,308.04 : x
  2. Step 2: Convert to fraction form
    23,794.87/32,822.02 = 15,308.04/x
  3. Step 3: Cross multiply
    23,794.87x = 32,822.02 × 15,308.04
  4. Step 4: Simplify right side
    23,794.87x = 502,440,795.04
  5. Step 5: Solve for x
    x = 502,440,795.04/23,794.87
  6. Step 6: Final answer
    x = 21,115.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.