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Finding the Fourth Proportional to 14,291, 19,721.59 and 8,003.38

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Solution

The fourth proportional to 14,291, 19,721.59 and 8,003.38 is: 11,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291 : 19,721.59 = 8,003.38 : x
  2. Step 2: Convert to fraction form
    14,291/19,721.59 = 8,003.38/x
  3. Step 3: Cross multiply
    14,291x = 19,721.59 × 8,003.38
  4. Step 4: Simplify right side
    14,291x = 157,839,240.35
  5. Step 5: Solve for x
    x = 157,839,240.35/14,291
  6. Step 6: Final answer
    x = 11,044.66

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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.