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Finding the Fourth Proportional to 22,207.50, 30,649.48 and 14,138.58

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Solution

The fourth proportional to 22,207.50, 30,649.48 and 14,138.58 is: 19,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,207.50 : 30,649.48 = 14,138.58 : x
  2. Step 2: Convert to fraction form
    22,207.50/30,649.48 = 14,138.58/x
  3. Step 3: Cross multiply
    22,207.50x = 30,649.48 × 14,138.58
  4. Step 4: Simplify right side
    22,207.50x = 433,340,180.92
  5. Step 5: Solve for x
    x = 433,340,180.92/22,207.50
  6. Step 6: Final answer
    x = 19,513.23

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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.