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Finding the Fourth Proportional to 19,136.04, 28,704.02 and 5,285

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Solution

The fourth proportional to 19,136.04, 28,704.02 and 5,285 is: 7,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.04 : 28,704.02 = 5,285 : x
  2. Step 2: Convert to fraction form
    19,136.04/28,704.02 = 5,285/x
  3. Step 3: Cross multiply
    19,136.04x = 28,704.02 × 5,285
  4. Step 4: Simplify right side
    19,136.04x = 151,700,745.70
  5. Step 5: Solve for x
    x = 151,700,745.70/19,136.04
  6. Step 6: Final answer
    x = 7,927.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.