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Finding the Fourth Proportional to 17,897.38, 24,697.56 and 9,940.11

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Solution

The fourth proportional to 17,897.38, 24,697.56 and 9,940.11 is: 13,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.38 : 24,697.56 = 9,940.11 : x
  2. Step 2: Convert to fraction form
    17,897.38/24,697.56 = 9,940.11/x
  3. Step 3: Cross multiply
    17,897.38x = 24,697.56 × 9,940.11
  4. Step 4: Simplify right side
    17,897.38x = 245,496,463.13
  5. Step 5: Solve for x
    x = 245,496,463.13/17,897.38
  6. Step 6: Final answer
    x = 13,716.89

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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.