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Finding the Fourth Proportional to 16,228.84, 24,344.12 and 5,136.70

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Solution

The fourth proportional to 16,228.84, 24,344.12 and 5,136.70 is: 7,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.84 : 24,344.12 = 5,136.70 : x
  2. Step 2: Convert to fraction form
    16,228.84/24,344.12 = 5,136.70/x
  3. Step 3: Cross multiply
    16,228.84x = 24,344.12 × 5,136.70
  4. Step 4: Simplify right side
    16,228.84x = 125,048,441.20
  5. Step 5: Solve for x
    x = 125,048,441.20/16,228.84
  6. Step 6: Final answer
    x = 7,705.32

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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.