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Finding the Fourth Proportional to 15,166.26, 22,754.79 and 7,774.20

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Solution

The fourth proportional to 15,166.26, 22,754.79 and 7,774.20 is: 11,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.26 : 22,754.79 = 7,774.20 : x
  2. Step 2: Convert to fraction form
    15,166.26/22,754.79 = 7,774.20/x
  3. Step 3: Cross multiply
    15,166.26x = 22,754.79 × 7,774.20
  4. Step 4: Simplify right side
    15,166.26x = 176,900,288.42
  5. Step 5: Solve for x
    x = 176,900,288.42/15,166.26
  6. Step 6: Final answer
    x = 11,664.07

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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.