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Finding the Fourth Proportional to 17,766.47, 24,518.23 and 9,809.19

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Solution

The fourth proportional to 17,766.47, 24,518.23 and 9,809.19 is: 13,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.47 : 24,518.23 = 9,809.19 : x
  2. Step 2: Convert to fraction form
    17,766.47/24,518.23 = 9,809.19/x
  3. Step 3: Cross multiply
    17,766.47x = 24,518.23 × 9,809.19
  4. Step 4: Simplify right side
    17,766.47x = 240,503,976.53
  5. Step 5: Solve for x
    x = 240,503,976.53/17,766.47
  6. Step 6: Final answer
    x = 13,536.96

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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.