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Finding the Fourth Proportional to 22,493.98, 33,742.59 and 6,482.86

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Solution

The fourth proportional to 22,493.98, 33,742.59 and 6,482.86 is: 9,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.98 : 33,742.59 = 6,482.86 : x
  2. Step 2: Convert to fraction form
    22,493.98/33,742.59 = 6,482.86/x
  3. Step 3: Cross multiply
    22,493.98x = 33,742.59 × 6,482.86
  4. Step 4: Simplify right side
    22,493.98x = 218,748,487.01
  5. Step 5: Solve for x
    x = 218,748,487.01/22,493.98
  6. Step 6: Final answer
    x = 9,724.76

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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.