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Finding the Fourth Proportional to 14,291.97, 19,721.04 and 8,242.44

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Solution

The fourth proportional to 14,291.97, 19,721.04 and 8,242.44 is: 11,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.97 : 19,721.04 = 8,242.44 : x
  2. Step 2: Convert to fraction form
    14,291.97/19,721.04 = 8,242.44/x
  3. Step 3: Cross multiply
    14,291.97x = 19,721.04 × 8,242.44
  4. Step 4: Simplify right side
    14,291.97x = 162,549,488.94
  5. Step 5: Solve for x
    x = 162,549,488.94/14,291.97
  6. Step 6: Final answer
    x = 11,373.48

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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.