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Finding the Fourth Proportional to 23,301.50, 32,145.83 and 15,745.07

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Solution

The fourth proportional to 23,301.50, 32,145.83 and 15,745.07 is: 21,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,301.50 : 32,145.83 = 15,745.07 : x
  2. Step 2: Convert to fraction form
    23,301.50/32,145.83 = 15,745.07/x
  3. Step 3: Cross multiply
    23,301.50x = 32,145.83 × 15,745.07
  4. Step 4: Simplify right side
    23,301.50x = 506,138,163.15
  5. Step 5: Solve for x
    x = 506,138,163.15/23,301.50
  6. Step 6: Final answer
    x = 21,721.27

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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.