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Finding the Fourth Proportional to 23,836.38, 32,907.42 and 21,312.42

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Solution

The fourth proportional to 23,836.38, 32,907.42 and 21,312.42 is: 29,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,836.38 : 32,907.42 = 21,312.42 : x
  2. Step 2: Convert to fraction form
    23,836.38/32,907.42 = 21,312.42/x
  3. Step 3: Cross multiply
    23,836.38x = 32,907.42 × 21,312.42
  4. Step 4: Simplify right side
    23,836.38x = 701,336,756.16
  5. Step 5: Solve for x
    x = 701,336,756.16/23,836.38
  6. Step 6: Final answer
    x = 29,422.96

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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.