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Finding the Fourth Proportional to 22,634.70, 31,239.64 and 13,203.28

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Solution

The fourth proportional to 22,634.70, 31,239.64 and 13,203.28 is: 18,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.70 : 31,239.64 = 13,203.28 : x
  2. Step 2: Convert to fraction form
    22,634.70/31,239.64 = 13,203.28/x
  3. Step 3: Cross multiply
    22,634.70x = 31,239.64 × 13,203.28
  4. Step 4: Simplify right side
    22,634.70x = 412,465,714.02
  5. Step 5: Solve for x
    x = 412,465,714.02/22,634.70
  6. Step 6: Final answer
    x = 18,222.72

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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.