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Finding the Fourth Proportional to 16,518, 22,794.88 and 9,066

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Solution

The fourth proportional to 16,518, 22,794.88 and 9,066 is: 12,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,518 : 22,794.88 = 9,066 : x
  2. Step 2: Convert to fraction form
    16,518/22,794.88 = 9,066/x
  3. Step 3: Cross multiply
    16,518x = 22,794.88 × 9,066
  4. Step 4: Simplify right side
    16,518x = 206,658,382.08
  5. Step 5: Solve for x
    x = 206,658,382.08/16,518
  6. Step 6: Final answer
    x = 12,511.10

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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.