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Finding the Fourth Proportional to 22,628.80, 31,240.11 and 13,678.57

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Solution

The fourth proportional to 22,628.80, 31,240.11 and 13,678.57 is: 18,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.80 : 31,240.11 = 13,678.57 : x
  2. Step 2: Convert to fraction form
    22,628.80/31,240.11 = 13,678.57/x
  3. Step 3: Cross multiply
    22,628.80x = 31,240.11 × 13,678.57
  4. Step 4: Simplify right side
    22,628.80x = 427,320,031.44
  5. Step 5: Solve for x
    x = 427,320,031.44/22,628.80
  6. Step 6: Final answer
    x = 18,883.90

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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.