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Finding the Fourth Proportional to 17,826.50, 24,600.77 and 9,868.86

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Solution

The fourth proportional to 17,826.50, 24,600.77 and 9,868.86 is: 13,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.50 : 24,600.77 = 9,868.86 : x
  2. Step 2: Convert to fraction form
    17,826.50/24,600.77 = 9,868.86/x
  3. Step 3: Cross multiply
    17,826.50x = 24,600.77 × 9,868.86
  4. Step 4: Simplify right side
    17,826.50x = 242,781,505.68
  5. Step 5: Solve for x
    x = 242,781,505.68/17,826.50
  6. Step 6: Final answer
    x = 13,619.14

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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.