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Finding the Fourth Proportional to 14,488, 21,726.33 and 6,171.82

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Solution

The fourth proportional to 14,488, 21,726.33 and 6,171.82 is: 9,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488 : 21,726.33 = 6,171.82 : x
  2. Step 2: Convert to fraction form
    14,488/21,726.33 = 6,171.82/x
  3. Step 3: Cross multiply
    14,488x = 21,726.33 × 6,171.82
  4. Step 4: Simplify right side
    14,488x = 134,090,998.02
  5. Step 5: Solve for x
    x = 134,090,998.02/14,488
  6. Step 6: Final answer
    x = 9,255.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.