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Finding the Fourth Proportional to 22,238.50, 30,689.14 and 13,855

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Solution

The fourth proportional to 22,238.50, 30,689.14 and 13,855 is: 19,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,238.50 : 30,689.14 = 13,855 : x
  2. Step 2: Convert to fraction form
    22,238.50/30,689.14 = 13,855/x
  3. Step 3: Cross multiply
    22,238.50x = 30,689.14 × 13,855
  4. Step 4: Simplify right side
    22,238.50x = 425,198,034.70
  5. Step 5: Solve for x
    x = 425,198,034.70/22,238.50
  6. Step 6: Final answer
    x = 19,119.91

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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.