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Finding the Fourth Proportional to 16,500.96, 22,772.16 and 10,527.84

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Solution

The fourth proportional to 16,500.96, 22,772.16 and 10,527.84 is: 14,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.96 : 22,772.16 = 10,527.84 : x
  2. Step 2: Convert to fraction form
    16,500.96/22,772.16 = 10,527.84/x
  3. Step 3: Cross multiply
    16,500.96x = 22,772.16 × 10,527.84
  4. Step 4: Simplify right side
    16,500.96x = 239,741,656.93
  5. Step 5: Solve for x
    x = 239,741,656.93/16,500.96
  6. Step 6: Final answer
    x = 14,528.95

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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.