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Finding the Fourth Proportional to 14,456.61, 19,949.79 and 8,083.29

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Solution

The fourth proportional to 14,456.61, 19,949.79 and 8,083.29 is: 11,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.61 : 19,949.79 = 8,083.29 : x
  2. Step 2: Convert to fraction form
    14,456.61/19,949.79 = 8,083.29/x
  3. Step 3: Cross multiply
    14,456.61x = 19,949.79 × 8,083.29
  4. Step 4: Simplify right side
    14,456.61x = 161,259,938.01
  5. Step 5: Solve for x
    x = 161,259,938.01/14,456.61
  6. Step 6: Final answer
    x = 11,154.75

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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.