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Finding the Fourth Proportional to 17,605.81, 24,296.20 and 9,647.86

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Solution

The fourth proportional to 17,605.81, 24,296.20 and 9,647.86 is: 13,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.81 : 24,296.20 = 9,647.86 : x
  2. Step 2: Convert to fraction form
    17,605.81/24,296.20 = 9,647.86/x
  3. Step 3: Cross multiply
    17,605.81x = 24,296.20 × 9,647.86
  4. Step 4: Simplify right side
    17,605.81x = 234,406,351.10
  5. Step 5: Solve for x
    x = 234,406,351.10/17,605.81
  6. Step 6: Final answer
    x = 13,314.15

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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.