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Finding the Fourth Proportional to 27,810.63, 38,377.08 and 16,481.19

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Solution

The fourth proportional to 27,810.63, 38,377.08 and 16,481.19 is: 22,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810.63 : 38,377.08 = 16,481.19 : x
  2. Step 2: Convert to fraction form
    27,810.63/38,377.08 = 16,481.19/x
  3. Step 3: Cross multiply
    27,810.63x = 38,377.08 × 16,481.19
  4. Step 4: Simplify right side
    27,810.63x = 632,499,947.13
  5. Step 5: Solve for x
    x = 632,499,947.13/27,810.63
  6. Step 6: Final answer
    x = 22,743.10

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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.