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Finding the Fourth Proportional to 14,881.39, 20,522.71 and 9,850.70

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Solution

The fourth proportional to 14,881.39, 20,522.71 and 9,850.70 is: 13,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.39 : 20,522.71 = 9,850.70 : x
  2. Step 2: Convert to fraction form
    14,881.39/20,522.71 = 9,850.70/x
  3. Step 3: Cross multiply
    14,881.39x = 20,522.71 × 9,850.70
  4. Step 4: Simplify right side
    14,881.39x = 202,163,059.40
  5. Step 5: Solve for x
    x = 202,163,059.40/14,881.39
  6. Step 6: Final answer
    x = 13,584.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.