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Finding the Fourth Proportional to 23,193, 34,805.70 and 9,342

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Solution

The fourth proportional to 23,193, 34,805.70 and 9,342 is: 14,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193 : 34,805.70 = 9,342 : x
  2. Step 2: Convert to fraction form
    23,193/34,805.70 = 9,342/x
  3. Step 3: Cross multiply
    23,193x = 34,805.70 × 9,342
  4. Step 4: Simplify right side
    23,193x = 325,154,849.40
  5. Step 5: Solve for x
    x = 325,154,849.40/23,193
  6. Step 6: Final answer
    x = 14,019.53

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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.