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Finding the Fourth Proportional to 15,536.81, 23,305.22 and 5,148.56

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Solution

The fourth proportional to 15,536.81, 23,305.22 and 5,148.56 is: 7,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.81 : 23,305.22 = 5,148.56 : x
  2. Step 2: Convert to fraction form
    15,536.81/23,305.22 = 5,148.56/x
  3. Step 3: Cross multiply
    15,536.81x = 23,305.22 × 5,148.56
  4. Step 4: Simplify right side
    15,536.81x = 119,988,375.31
  5. Step 5: Solve for x
    x = 119,988,375.31/15,536.81
  6. Step 6: Final answer
    x = 7,722.84

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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.