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Finding the Fourth Proportional to 23,134.86, 34,722 and 9,104.76

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Solution

The fourth proportional to 23,134.86, 34,722 and 9,104.76 is: 13,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.86 : 34,722 = 9,104.76 : x
  2. Step 2: Convert to fraction form
    23,134.86/34,722 = 9,104.76/x
  3. Step 3: Cross multiply
    23,134.86x = 34,722 × 9,104.76
  4. Step 4: Simplify right side
    23,134.86x = 316,135,476.72
  5. Step 5: Solve for x
    x = 316,135,476.72/23,134.86
  6. Step 6: Final answer
    x = 13,664.90

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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.