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Finding the Fourth Proportional to 16,338.81, 24,513.68 and 6,480.93

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Solution

The fourth proportional to 16,338.81, 24,513.68 and 6,480.93 is: 9,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.81 : 24,513.68 = 6,480.93 : x
  2. Step 2: Convert to fraction form
    16,338.81/24,513.68 = 6,480.93/x
  3. Step 3: Cross multiply
    16,338.81x = 24,513.68 × 6,480.93
  4. Step 4: Simplify right side
    16,338.81x = 158,871,411.72
  5. Step 5: Solve for x
    x = 158,871,411.72/16,338.81
  6. Step 6: Final answer
    x = 9,723.56

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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.