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Finding the Fourth Proportional to 16,366, 22,585.08 and 8,914

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Solution

The fourth proportional to 16,366, 22,585.08 and 8,914 is: 12,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366 : 22,585.08 = 8,914 : x
  2. Step 2: Convert to fraction form
    16,366/22,585.08 = 8,914/x
  3. Step 3: Cross multiply
    16,366x = 22,585.08 × 8,914
  4. Step 4: Simplify right side
    16,366x = 201,323,403.12
  5. Step 5: Solve for x
    x = 201,323,403.12/16,366
  6. Step 6: Final answer
    x = 12,301.32

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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.