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Finding the Fourth Proportional to 22,909.82, 31,615.53 and 12,838.34

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Solution

The fourth proportional to 22,909.82, 31,615.53 and 12,838.34 is: 17,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.82 : 31,615.53 = 12,838.34 : x
  2. Step 2: Convert to fraction form
    22,909.82/31,615.53 = 12,838.34/x
  3. Step 3: Cross multiply
    22,909.82x = 31,615.53 × 12,838.34
  4. Step 4: Simplify right side
    22,909.82x = 405,890,923.42
  5. Step 5: Solve for x
    x = 405,890,923.42/22,909.82
  6. Step 6: Final answer
    x = 17,716.90

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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.