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Finding the Fourth Proportional to 22,099.50, 30,475.71 and 14,138.82

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Solution

The fourth proportional to 22,099.50, 30,475.71 and 14,138.82 is: 19,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.50 : 30,475.71 = 14,138.82 : x
  2. Step 2: Convert to fraction form
    22,099.50/30,475.71 = 14,138.82/x
  3. Step 3: Cross multiply
    22,099.50x = 30,475.71 × 14,138.82
  4. Step 4: Simplify right side
    22,099.50x = 430,890,578.06
  5. Step 5: Solve for x
    x = 430,890,578.06/22,099.50
  6. Step 6: Final answer
    x = 19,497.75

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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.