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Finding the Fourth Proportional to 28,114.62, 42,138.99 and 11,464.26

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Solution

The fourth proportional to 28,114.62, 42,138.99 and 11,464.26 is: 17,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114.62 : 42,138.99 = 11,464.26 : x
  2. Step 2: Convert to fraction form
    28,114.62/42,138.99 = 11,464.26/x
  3. Step 3: Cross multiply
    28,114.62x = 42,138.99 × 11,464.26
  4. Step 4: Simplify right side
    28,114.62x = 483,092,337.50
  5. Step 5: Solve for x
    x = 483,092,337.50/28,114.62
  6. Step 6: Final answer
    x = 17,182.96

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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.