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Finding the Fourth Proportional to 16,212.80, 24,280.80 and 10,990.40

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Solution

The fourth proportional to 16,212.80, 24,280.80 and 10,990.40 is: 16,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.80 : 24,280.80 = 10,990.40 : x
  2. Step 2: Convert to fraction form
    16,212.80/24,280.80 = 10,990.40/x
  3. Step 3: Cross multiply
    16,212.80x = 24,280.80 × 10,990.40
  4. Step 4: Simplify right side
    16,212.80x = 266,855,704.32
  5. Step 5: Solve for x
    x = 266,855,704.32/16,212.80
  6. Step 6: Final answer
    x = 16,459.57

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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.