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Finding the Fourth Proportional to 17,605.80, 24,296.00 and 9,648.23

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Solution

The fourth proportional to 17,605.80, 24,296.00 and 9,648.23 is: 13,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.80 : 24,296.00 = 9,648.23 : x
  2. Step 2: Convert to fraction form
    17,605.80/24,296.00 = 9,648.23/x
  3. Step 3: Cross multiply
    17,605.80x = 24,296.00 × 9,648.23
  4. Step 4: Simplify right side
    17,605.80x = 234,413,226.36
  5. Step 5: Solve for x
    x = 234,413,226.36/17,605.80
  6. Step 6: Final answer
    x = 13,314.55

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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.