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Finding the Fourth Proportional to 22,505.98, 31,078.26 and 14,022.70

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Solution

The fourth proportional to 22,505.98, 31,078.26 and 14,022.70 is: 19,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.98 : 31,078.26 = 14,022.70 : x
  2. Step 2: Convert to fraction form
    22,505.98/31,078.26 = 14,022.70/x
  3. Step 3: Cross multiply
    22,505.98x = 31,078.26 × 14,022.70
  4. Step 4: Simplify right side
    22,505.98x = 435,801,116.50
  5. Step 5: Solve for x
    x = 435,801,116.50/22,505.98
  6. Step 6: Final answer
    x = 19,363.79

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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.