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Finding the Fourth Proportional to 23,050.07, 31,742.17 and 20,023.82

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Solution

The fourth proportional to 23,050.07, 31,742.17 and 20,023.82 is: 27,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050.07 : 31,742.17 = 20,023.82 : x
  2. Step 2: Convert to fraction form
    23,050.07/31,742.17 = 20,023.82/x
  3. Step 3: Cross multiply
    23,050.07x = 31,742.17 × 20,023.82
  4. Step 4: Simplify right side
    23,050.07x = 635,599,239.66
  5. Step 5: Solve for x
    x = 635,599,239.66/23,050.07
  6. Step 6: Final answer
    x = 27,574.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.