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Finding the Fourth Proportional to 16,366, 22,584 and 9,651.30

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Solution

The fourth proportional to 16,366, 22,584 and 9,651.30 is: 13,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366 : 22,584 = 9,651.30 : x
  2. Step 2: Convert to fraction form
    16,366/22,584 = 9,651.30/x
  3. Step 3: Cross multiply
    16,366x = 22,584 × 9,651.30
  4. Step 4: Simplify right side
    16,366x = 217,964,959.20
  5. Step 5: Solve for x
    x = 217,964,959.20/16,366
  6. Step 6: Final answer
    x = 13,318.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.