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Finding the Fourth Proportional to 22,559.16, 33,842.03 and 6,978

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Solution

The fourth proportional to 22,559.16, 33,842.03 and 6,978 is: 10,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.16 : 33,842.03 = 6,978 : x
  2. Step 2: Convert to fraction form
    22,559.16/33,842.03 = 6,978/x
  3. Step 3: Cross multiply
    22,559.16x = 33,842.03 × 6,978
  4. Step 4: Simplify right side
    22,559.16x = 236,149,650.45
  5. Step 5: Solve for x
    x = 236,149,650.45/22,559.16
  6. Step 6: Final answer
    x = 10,468.02

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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.