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Finding the Fourth Proportional to 22,716.52, 31,364.10 and 14,221.96

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Solution

The fourth proportional to 22,716.52, 31,364.10 and 14,221.96 is: 19,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.52 : 31,364.10 = 14,221.96 : x
  2. Step 2: Convert to fraction form
    22,716.52/31,364.10 = 14,221.96/x
  3. Step 3: Cross multiply
    22,716.52x = 31,364.10 × 14,221.96
  4. Step 4: Simplify right side
    22,716.52x = 446,058,975.64
  5. Step 5: Solve for x
    x = 446,058,975.64/22,716.52
  6. Step 6: Final answer
    x = 19,635.89

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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.