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Finding the Fourth Proportional to 16,022.80, 24,009.90 and 10,822.60

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Solution

The fourth proportional to 16,022.80, 24,009.90 and 10,822.60 is: 16,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.80 : 24,009.90 = 10,822.60 : x
  2. Step 2: Convert to fraction form
    16,022.80/24,009.90 = 10,822.60/x
  3. Step 3: Cross multiply
    16,022.80x = 24,009.90 × 10,822.60
  4. Step 4: Simplify right side
    16,022.80x = 259,849,543.74
  5. Step 5: Solve for x
    x = 259,849,543.74/16,022.80
  6. Step 6: Final answer
    x = 16,217.49

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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.