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Finding the Fourth Proportional to 16,403.14, 24,608.62 and 5,309.83

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Solution

The fourth proportional to 16,403.14, 24,608.62 and 5,309.83 is: 7,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.14 : 24,608.62 = 5,309.83 : x
  2. Step 2: Convert to fraction form
    16,403.14/24,608.62 = 5,309.83/x
  3. Step 3: Cross multiply
    16,403.14x = 24,608.62 × 5,309.83
  4. Step 4: Simplify right side
    16,403.14x = 130,667,588.73
  5. Step 5: Solve for x
    x = 130,667,588.73/16,403.14
  6. Step 6: Final answer
    x = 7,966.01

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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.