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Finding the Fourth Proportional to 22,982.82, 31,695.22 and 14,908.06

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Solution

The fourth proportional to 22,982.82, 31,695.22 and 14,908.06 is: 20,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.82 : 31,695.22 = 14,908.06 : x
  2. Step 2: Convert to fraction form
    22,982.82/31,695.22 = 14,908.06/x
  3. Step 3: Cross multiply
    22,982.82x = 31,695.22 × 14,908.06
  4. Step 4: Simplify right side
    22,982.82x = 472,514,124.97
  5. Step 5: Solve for x
    x = 472,514,124.97/22,982.82
  6. Step 6: Final answer
    x = 20,559.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.