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Finding the Fourth Proportional to 27,550.64, 38,006.52 and 16,364.72

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Solution

The fourth proportional to 27,550.64, 38,006.52 and 16,364.72 is: 22,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,550.64 : 38,006.52 = 16,364.72 : x
  2. Step 2: Convert to fraction form
    27,550.64/38,006.52 = 16,364.72/x
  3. Step 3: Cross multiply
    27,550.64x = 38,006.52 × 16,364.72
  4. Step 4: Simplify right side
    27,550.64x = 621,966,057.97
  5. Step 5: Solve for x
    x = 621,966,057.97/27,550.64
  6. Step 6: Final answer
    x = 22,575.38

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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.