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Finding the Fourth Proportional to 16,501.38, 22,771.98 and 9,694.14

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Solution

The fourth proportional to 16,501.38, 22,771.98 and 9,694.14 is: 13,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.38 : 22,771.98 = 9,694.14 : x
  2. Step 2: Convert to fraction form
    16,501.38/22,771.98 = 9,694.14/x
  3. Step 3: Cross multiply
    16,501.38x = 22,771.98 × 9,694.14
  4. Step 4: Simplify right side
    16,501.38x = 220,754,762.20
  5. Step 5: Solve for x
    x = 220,754,762.20/16,501.38
  6. Step 6: Final answer
    x = 13,377.96

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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.