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Finding the Fourth Proportional to 16,249.64, 24,335.50 and 8,835.71

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Solution

The fourth proportional to 16,249.64, 24,335.50 and 8,835.71 is: 13,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.64 : 24,335.50 = 8,835.71 : x
  2. Step 2: Convert to fraction form
    16,249.64/24,335.50 = 8,835.71/x
  3. Step 3: Cross multiply
    16,249.64x = 24,335.50 × 8,835.71
  4. Step 4: Simplify right side
    16,249.64x = 215,021,420.71
  5. Step 5: Solve for x
    x = 215,021,420.71/16,249.64
  6. Step 6: Final answer
    x = 13,232.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.