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Finding the Fourth Proportional to 23,561.86, 32,512.68 and 12,950.86

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Solution

The fourth proportional to 23,561.86, 32,512.68 and 12,950.86 is: 17,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.86 : 32,512.68 = 12,950.86 : x
  2. Step 2: Convert to fraction form
    23,561.86/32,512.68 = 12,950.86/x
  3. Step 3: Cross multiply
    23,561.86x = 32,512.68 × 12,950.86
  4. Step 4: Simplify right side
    23,561.86x = 421,067,166.90
  5. Step 5: Solve for x
    x = 421,067,166.90/23,561.86
  6. Step 6: Final answer
    x = 17,870.71

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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.