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Finding the Fourth Proportional to 16,282.80, 24,407.10 and 10,364.22

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Solution

The fourth proportional to 16,282.80, 24,407.10 and 10,364.22 is: 15,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.80 : 24,407.10 = 10,364.22 : x
  2. Step 2: Convert to fraction form
    16,282.80/24,407.10 = 10,364.22/x
  3. Step 3: Cross multiply
    16,282.80x = 24,407.10 × 10,364.22
  4. Step 4: Simplify right side
    16,282.80x = 252,960,553.96
  5. Step 5: Solve for x
    x = 252,960,553.96/16,282.80
  6. Step 6: Final answer
    x = 15,535.45

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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.