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Finding the Fourth Proportional to 17,404.20, 24,017.85 and 9,446.49

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Solution

The fourth proportional to 17,404.20, 24,017.85 and 9,446.49 is: 13,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404.20 : 24,017.85 = 9,446.49 : x
  2. Step 2: Convert to fraction form
    17,404.20/24,017.85 = 9,446.49/x
  3. Step 3: Cross multiply
    17,404.20x = 24,017.85 × 9,446.49
  4. Step 4: Simplify right side
    17,404.20x = 226,884,379.85
  5. Step 5: Solve for x
    x = 226,884,379.85/17,404.20
  6. Step 6: Final answer
    x = 13,036.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.