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Finding the Fourth Proportional to 16,219.04, 22,378.46 and 9,845.48

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Solution

The fourth proportional to 16,219.04, 22,378.46 and 9,845.48 is: 13,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.04 : 22,378.46 = 9,845.48 : x
  2. Step 2: Convert to fraction form
    16,219.04/22,378.46 = 9,845.48/x
  3. Step 3: Cross multiply
    16,219.04x = 22,378.46 × 9,845.48
  4. Step 4: Simplify right side
    16,219.04x = 220,326,519.24
  5. Step 5: Solve for x
    x = 220,326,519.24/16,219.04
  6. Step 6: Final answer
    x = 13,584.43

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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.