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Finding the Fourth Proportional to 19,827.78, 27,362.72 and 10,874.76

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Solution

The fourth proportional to 19,827.78, 27,362.72 and 10,874.76 is: 15,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.78 : 27,362.72 = 10,874.76 : x
  2. Step 2: Convert to fraction form
    19,827.78/27,362.72 = 10,874.76/x
  3. Step 3: Cross multiply
    19,827.78x = 27,362.72 × 10,874.76
  4. Step 4: Simplify right side
    19,827.78x = 297,563,012.95
  5. Step 5: Solve for x
    x = 297,563,012.95/19,827.78
  6. Step 6: Final answer
    x = 15,007.38

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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.