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Finding the Fourth Proportional to 22,499.82, 33,764.80 and 9,352.16

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Solution

The fourth proportional to 22,499.82, 33,764.80 and 9,352.16 is: 14,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499.82 : 33,764.80 = 9,352.16 : x
  2. Step 2: Convert to fraction form
    22,499.82/33,764.80 = 9,352.16/x
  3. Step 3: Cross multiply
    22,499.82x = 33,764.80 × 9,352.16
  4. Step 4: Simplify right side
    22,499.82x = 315,773,811.97
  5. Step 5: Solve for x
    x = 315,773,811.97/22,499.82
  6. Step 6: Final answer
    x = 14,034.50

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1.5x scale

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.