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Finding the Fourth Proportional to 23,306.85, 32,164.05 and 12,697.14

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Solution

The fourth proportional to 23,306.85, 32,164.05 and 12,697.14 is: 17,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,306.85 : 32,164.05 = 12,697.14 : x
  2. Step 2: Convert to fraction form
    23,306.85/32,164.05 = 12,697.14/x
  3. Step 3: Cross multiply
    23,306.85x = 32,164.05 × 12,697.14
  4. Step 4: Simplify right side
    23,306.85x = 408,391,445.82
  5. Step 5: Solve for x
    x = 408,391,445.82/23,306.85
  6. Step 6: Final answer
    x = 17,522.38

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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.