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Finding the Fourth Proportional to 17,743.99, 24,486.36 and 9,677.74

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Solution

The fourth proportional to 17,743.99, 24,486.36 and 9,677.74 is: 13,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.99 : 24,486.36 = 9,677.74 : x
  2. Step 2: Convert to fraction form
    17,743.99/24,486.36 = 9,677.74/x
  3. Step 3: Cross multiply
    17,743.99x = 24,486.36 × 9,677.74
  4. Step 4: Simplify right side
    17,743.99x = 236,972,503.19
  5. Step 5: Solve for x
    x = 236,972,503.19/17,743.99
  6. Step 6: Final answer
    x = 13,355.09

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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.