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Finding the Fourth Proportional to 23,567.38, 32,523.44 and 12,958

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Solution

The fourth proportional to 23,567.38, 32,523.44 and 12,958 is: 17,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.38 : 32,523.44 = 12,958 : x
  2. Step 2: Convert to fraction form
    23,567.38/32,523.44 = 12,958/x
  3. Step 3: Cross multiply
    23,567.38x = 32,523.44 × 12,958
  4. Step 4: Simplify right side
    23,567.38x = 421,438,735.52
  5. Step 5: Solve for x
    x = 421,438,735.52/23,567.38
  6. Step 6: Final answer
    x = 17,882.29

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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.