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Finding the Fourth Proportional to 17,112.38, 23,616.30 and 9,559.98

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Solution

The fourth proportional to 17,112.38, 23,616.30 and 9,559.98 is: 13,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112.38 : 23,616.30 = 9,559.98 : x
  2. Step 2: Convert to fraction form
    17,112.38/23,616.30 = 9,559.98/x
  3. Step 3: Cross multiply
    17,112.38x = 23,616.30 × 9,559.98
  4. Step 4: Simplify right side
    17,112.38x = 225,771,355.67
  5. Step 5: Solve for x
    x = 225,771,355.67/17,112.38
  6. Step 6: Final answer
    x = 13,193.45

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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.