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Finding the Fourth Proportional to 15,832.22, 23,753.07 and 4,739.27

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Solution

The fourth proportional to 15,832.22, 23,753.07 and 4,739.27 is: 7,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.22 : 23,753.07 = 4,739.27 : x
  2. Step 2: Convert to fraction form
    15,832.22/23,753.07 = 4,739.27/x
  3. Step 3: Cross multiply
    15,832.22x = 23,753.07 × 4,739.27
  4. Step 4: Simplify right side
    15,832.22x = 112,572,093.29
  5. Step 5: Solve for x
    x = 112,572,093.29/15,832.22
  6. Step 6: Final answer
    x = 7,110.32

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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.