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Finding the Fourth Proportional to 17,391.44, 24,001.80 and 9,938

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Solution

The fourth proportional to 17,391.44, 24,001.80 and 9,938 is: 13,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,391.44 : 24,001.80 = 9,938 : x
  2. Step 2: Convert to fraction form
    17,391.44/24,001.80 = 9,938/x
  3. Step 3: Cross multiply
    17,391.44x = 24,001.80 × 9,938
  4. Step 4: Simplify right side
    17,391.44x = 238,529,888.40
  5. Step 5: Solve for x
    x = 238,529,888.40/17,391.44
  6. Step 6: Final answer
    x = 13,715.36

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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.