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Finding the Fourth Proportional to 27,092.24, 40,644 and 9,574.64

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Solution

The fourth proportional to 27,092.24, 40,644 and 9,574.64 is: 14,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,092.24 : 40,644 = 9,574.64 : x
  2. Step 2: Convert to fraction form
    27,092.24/40,644 = 9,574.64/x
  3. Step 3: Cross multiply
    27,092.24x = 40,644 × 9,574.64
  4. Step 4: Simplify right side
    27,092.24x = 389,151,668.16
  5. Step 5: Solve for x
    x = 389,151,668.16/27,092.24
  6. Step 6: Final answer
    x = 14,363.95

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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.