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Finding the Fourth Proportional to 28,166.22, 42,253.50 and 9,441.78

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Solution

The fourth proportional to 28,166.22, 42,253.50 and 9,441.78 is: 14,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,166.22 : 42,253.50 = 9,441.78 : x
  2. Step 2: Convert to fraction form
    28,166.22/42,253.50 = 9,441.78/x
  3. Step 3: Cross multiply
    28,166.22x = 42,253.50 × 9,441.78
  4. Step 4: Simplify right side
    28,166.22x = 398,948,251.23
  5. Step 5: Solve for x
    x = 398,948,251.23/28,166.22
  6. Step 6: Final answer
    x = 14,164.07

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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.