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Finding the Fourth Proportional to 27,791.34, 38,352.54 and 19,847.10

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Solution

The fourth proportional to 27,791.34, 38,352.54 and 19,847.10 is: 27,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.34 : 38,352.54 = 19,847.10 : x
  2. Step 2: Convert to fraction form
    27,791.34/38,352.54 = 19,847.10/x
  3. Step 3: Cross multiply
    27,791.34x = 38,352.54 × 19,847.10
  4. Step 4: Simplify right side
    27,791.34x = 761,186,696.63
  5. Step 5: Solve for x
    x = 761,186,696.63/27,791.34
  6. Step 6: Final answer
    x = 27,389.35

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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.