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Finding the Fourth Proportional to 16,104.25, 22,223.87 and 9,820.27

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Solution

The fourth proportional to 16,104.25, 22,223.87 and 9,820.27 is: 13,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.25 : 22,223.87 = 9,820.27 : x
  2. Step 2: Convert to fraction form
    16,104.25/22,223.87 = 9,820.27/x
  3. Step 3: Cross multiply
    16,104.25x = 22,223.87 × 9,820.27
  4. Step 4: Simplify right side
    16,104.25x = 218,244,403.84
  5. Step 5: Solve for x
    x = 218,244,403.84/16,104.25
  6. Step 6: Final answer
    x = 13,551.98

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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.