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Finding the Fourth Proportional to 17,605.62, 24,295.76 and 9,648.16

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Solution

The fourth proportional to 17,605.62, 24,295.76 and 9,648.16 is: 13,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.62 : 24,295.76 = 9,648.16 : x
  2. Step 2: Convert to fraction form
    17,605.62/24,295.76 = 9,648.16/x
  3. Step 3: Cross multiply
    17,605.62x = 24,295.76 × 9,648.16
  4. Step 4: Simplify right side
    17,605.62x = 234,409,379.80
  5. Step 5: Solve for x
    x = 234,409,379.80/17,605.62
  6. Step 6: Final answer
    x = 13,314.46

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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.