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Finding the Fourth Proportional to 23,703.56, 32,717.22 and 14,745.98

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Solution

The fourth proportional to 23,703.56, 32,717.22 and 14,745.98 is: 20,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,703.56 : 32,717.22 = 14,745.98 : x
  2. Step 2: Convert to fraction form
    23,703.56/32,717.22 = 14,745.98/x
  3. Step 3: Cross multiply
    23,703.56x = 32,717.22 × 14,745.98
  4. Step 4: Simplify right side
    23,703.56x = 482,447,471.78
  5. Step 5: Solve for x
    x = 482,447,471.78/23,703.56
  6. Step 6: Final answer
    x = 20,353.38

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Why These Related Problems?

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