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Finding the Fourth Proportional to 16,281, 22,467.78 and 9,207.27

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Solution

The fourth proportional to 16,281, 22,467.78 and 9,207.27 is: 12,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281 : 22,467.78 = 9,207.27 : x
  2. Step 2: Convert to fraction form
    16,281/22,467.78 = 9,207.27/x
  3. Step 3: Cross multiply
    16,281x = 22,467.78 × 9,207.27
  4. Step 4: Simplify right side
    16,281x = 206,866,916.76
  5. Step 5: Solve for x
    x = 206,866,916.76/16,281
  6. Step 6: Final answer
    x = 12,706.03

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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.