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Finding the Fourth Proportional to 27,566.52, 38,042.08 and 14,991.24

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Solution

The fourth proportional to 27,566.52, 38,042.08 and 14,991.24 is: 20,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,566.52 : 38,042.08 = 14,991.24 : x
  2. Step 2: Convert to fraction form
    27,566.52/38,042.08 = 14,991.24/x
  3. Step 3: Cross multiply
    27,566.52x = 38,042.08 × 14,991.24
  4. Step 4: Simplify right side
    27,566.52x = 570,297,951.38
  5. Step 5: Solve for x
    x = 570,297,951.38/27,566.52
  6. Step 6: Final answer
    x = 20,688.06

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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.