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Finding the Fourth Proportional to 17,681.84, 24,406.44 and 11,394.24

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Solution

The fourth proportional to 17,681.84, 24,406.44 and 11,394.24 is: 15,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.84 : 24,406.44 = 11,394.24 : x
  2. Step 2: Convert to fraction form
    17,681.84/24,406.44 = 11,394.24/x
  3. Step 3: Cross multiply
    17,681.84x = 24,406.44 × 11,394.24
  4. Step 4: Simplify right side
    17,681.84x = 278,092,834.91
  5. Step 5: Solve for x
    x = 278,092,834.91/17,681.84
  6. Step 6: Final answer
    x = 15,727.60

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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.