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Finding the Fourth Proportional to 17,605.69, 24,296.42 and 9,648.42

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Solution

The fourth proportional to 17,605.69, 24,296.42 and 9,648.42 is: 13,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.69 : 24,296.42 = 9,648.42 : x
  2. Step 2: Convert to fraction form
    17,605.69/24,296.42 = 9,648.42/x
  3. Step 3: Cross multiply
    17,605.69x = 24,296.42 × 9,648.42
  4. Step 4: Simplify right side
    17,605.69x = 234,422,064.66
  5. Step 5: Solve for x
    x = 234,422,064.66/17,605.69
  6. Step 6: Final answer
    x = 13,315.13

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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.