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Finding the Fourth Proportional to 17,604.62, 24,294.38 and 9,647.16

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Solution

The fourth proportional to 17,604.62, 24,294.38 and 9,647.16 is: 13,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.62 : 24,294.38 = 9,647.16 : x
  2. Step 2: Convert to fraction form
    17,604.62/24,294.38 = 9,647.16/x
  3. Step 3: Cross multiply
    17,604.62x = 24,294.38 × 9,647.16
  4. Step 4: Simplify right side
    17,604.62x = 234,371,770.96
  5. Step 5: Solve for x
    x = 234,371,770.96/17,604.62
  6. Step 6: Final answer
    x = 13,313.08

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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.