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Finding the Fourth Proportional to 22,462.53, 30,999.83 and 13,031.09

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Solution

The fourth proportional to 22,462.53, 30,999.83 and 13,031.09 is: 17,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.53 : 30,999.83 = 13,031.09 : x
  2. Step 2: Convert to fraction form
    22,462.53/30,999.83 = 13,031.09/x
  3. Step 3: Cross multiply
    22,462.53x = 30,999.83 × 13,031.09
  4. Step 4: Simplify right side
    22,462.53x = 403,961,587.06
  5. Step 5: Solve for x
    x = 403,961,587.06/22,462.53
  6. Step 6: Final answer
    x = 17,983.80

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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.