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Finding the Fourth Proportional to 15,383.50, 23,077.19 and 6,022.32

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Solution

The fourth proportional to 15,383.50, 23,077.19 and 6,022.32 is: 9,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,383.50 : 23,077.19 = 6,022.32 : x
  2. Step 2: Convert to fraction form
    15,383.50/23,077.19 = 6,022.32/x
  3. Step 3: Cross multiply
    15,383.50x = 23,077.19 × 6,022.32
  4. Step 4: Simplify right side
    15,383.50x = 138,978,222.88
  5. Step 5: Solve for x
    x = 138,978,222.88/15,383.50
  6. Step 6: Final answer
    x = 9,034.24

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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.