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Finding the Fourth Proportional to 22,159.20, 33,245.24 and 7,166

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Solution

The fourth proportional to 22,159.20, 33,245.24 and 7,166 is: 10,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.20 : 33,245.24 = 7,166 : x
  2. Step 2: Convert to fraction form
    22,159.20/33,245.24 = 7,166/x
  3. Step 3: Cross multiply
    22,159.20x = 33,245.24 × 7,166
  4. Step 4: Simplify right side
    22,159.20x = 238,235,389.84
  5. Step 5: Solve for x
    x = 238,235,389.84/22,159.20
  6. Step 6: Final answer
    x = 10,751.08

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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.