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Finding the Fourth Proportional to 14,474.39, 21,710.10 and 9,824.27

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Solution

The fourth proportional to 14,474.39, 21,710.10 and 9,824.27 is: 14,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.39 : 21,710.10 = 9,824.27 : x
  2. Step 2: Convert to fraction form
    14,474.39/21,710.10 = 9,824.27/x
  3. Step 3: Cross multiply
    14,474.39x = 21,710.10 × 9,824.27
  4. Step 4: Simplify right side
    14,474.39x = 213,285,938.40
  5. Step 5: Solve for x
    x = 213,285,938.40/14,474.39
  6. Step 6: Final answer
    x = 14,735.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.