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Finding the Fourth Proportional to 15,399.48, 23,099.22 and 6,159

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Solution

The fourth proportional to 15,399.48, 23,099.22 and 6,159 is: 9,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,399.48 : 23,099.22 = 6,159 : x
  2. Step 2: Convert to fraction form
    15,399.48/23,099.22 = 6,159/x
  3. Step 3: Cross multiply
    15,399.48x = 23,099.22 × 6,159
  4. Step 4: Simplify right side
    15,399.48x = 142,268,095.98
  5. Step 5: Solve for x
    x = 142,268,095.98/15,399.48
  6. Step 6: Final answer
    x = 9,238.50

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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.