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Finding the Fourth Proportional to 21,841.72, 32,751.06 and 9,523

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Solution

The fourth proportional to 21,841.72, 32,751.06 and 9,523 is: 14,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.72 : 32,751.06 = 9,523 : x
  2. Step 2: Convert to fraction form
    21,841.72/32,751.06 = 9,523/x
  3. Step 3: Cross multiply
    21,841.72x = 32,751.06 × 9,523
  4. Step 4: Simplify right side
    21,841.72x = 311,888,344.38
  5. Step 5: Solve for x
    x = 311,888,344.38/21,841.72
  6. Step 6: Final answer
    x = 14,279.48

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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.