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Finding the Fourth Proportional to 22,482.70, 33,743.50 and 8,641.42

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Solution

The fourth proportional to 22,482.70, 33,743.50 and 8,641.42 is: 12,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.70 : 33,743.50 = 8,641.42 : x
  2. Step 2: Convert to fraction form
    22,482.70/33,743.50 = 8,641.42/x
  3. Step 3: Cross multiply
    22,482.70x = 33,743.50 × 8,641.42
  4. Step 4: Simplify right side
    22,482.70x = 291,591,649.81
  5. Step 5: Solve for x
    x = 291,591,649.81/22,482.70
  6. Step 6: Final answer
    x = 12,969.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.