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Finding the Fourth Proportional to 23,014.86, 34,523.73 and 9,163.50

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Solution

The fourth proportional to 23,014.86, 34,523.73 and 9,163.50 is: 13,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.86 : 34,523.73 = 9,163.50 : x
  2. Step 2: Convert to fraction form
    23,014.86/34,523.73 = 9,163.50/x
  3. Step 3: Cross multiply
    23,014.86x = 34,523.73 × 9,163.50
  4. Step 4: Simplify right side
    23,014.86x = 316,358,199.86
  5. Step 5: Solve for x
    x = 316,358,199.86/23,014.86
  6. Step 6: Final answer
    x = 13,745.82

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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.