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Finding the Fourth Proportional to 16,268.86, 24,405.12 and 6,406.84

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Solution

The fourth proportional to 16,268.86, 24,405.12 and 6,406.84 is: 9,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.86 : 24,405.12 = 6,406.84 : x
  2. Step 2: Convert to fraction form
    16,268.86/24,405.12 = 6,406.84/x
  3. Step 3: Cross multiply
    16,268.86x = 24,405.12 × 6,406.84
  4. Step 4: Simplify right side
    16,268.86x = 156,359,699.02
  5. Step 5: Solve for x
    x = 156,359,699.02/16,268.86
  6. Step 6: Final answer
    x = 9,610.98

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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.