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Finding the Fourth Proportional to 15,099.44, 22,653.20 and 5,238.72

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Solution

The fourth proportional to 15,099.44, 22,653.20 and 5,238.72 is: 7,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,099.44 : 22,653.20 = 5,238.72 : x
  2. Step 2: Convert to fraction form
    15,099.44/22,653.20 = 5,238.72/x
  3. Step 3: Cross multiply
    15,099.44x = 22,653.20 × 5,238.72
  4. Step 4: Simplify right side
    15,099.44x = 118,673,785.00
  5. Step 5: Solve for x
    x = 118,673,785.00/15,099.44
  6. Step 6: Final answer
    x = 7,859.49

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Why These Related Problems?

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