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Finding the Fourth Proportional to 28,658.70, 42,992.10 and 8,935.20

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Solution

The fourth proportional to 28,658.70, 42,992.10 and 8,935.20 is: 13,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,658.70 : 42,992.10 = 8,935.20 : x
  2. Step 2: Convert to fraction form
    28,658.70/42,992.10 = 8,935.20/x
  3. Step 3: Cross multiply
    28,658.70x = 42,992.10 × 8,935.20
  4. Step 4: Simplify right side
    28,658.70x = 384,143,011.92
  5. Step 5: Solve for x
    x = 384,143,011.92/28,658.70
  6. Step 6: Final answer
    x = 13,404.06

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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.