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Finding the Fourth Proportional to 22,668.08, 34,006.44 and 8,816

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Solution

The fourth proportional to 22,668.08, 34,006.44 and 8,816 is: 13,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.08 : 34,006.44 = 8,816 : x
  2. Step 2: Convert to fraction form
    22,668.08/34,006.44 = 8,816/x
  3. Step 3: Cross multiply
    22,668.08x = 34,006.44 × 8,816
  4. Step 4: Simplify right side
    22,668.08x = 299,800,775.04
  5. Step 5: Solve for x
    x = 299,800,775.04/22,668.08
  6. Step 6: Final answer
    x = 13,225.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.