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Finding the Fourth Proportional to 16,099.80, 21,803.85 and 16,099.80

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Solution

The fourth proportional to 16,099.80, 21,803.85 and 16,099.80 is: 21,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.80 : 21,803.85 = 16,099.80 : x
  2. Step 2: Convert to fraction form
    16,099.80/21,803.85 = 16,099.80/x
  3. Step 3: Cross multiply
    16,099.80x = 21,803.85 × 16,099.80
  4. Step 4: Simplify right side
    16,099.80x = 351,037,624.23
  5. Step 5: Solve for x
    x = 351,037,624.23/16,099.80
  6. Step 6: Final answer
    x = 21,803.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.