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Finding the Fourth Proportional to 22,145.32, 30,564.48 and 13,198

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Solution

The fourth proportional to 22,145.32, 30,564.48 and 13,198 is: 18,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145.32 : 30,564.48 = 13,198 : x
  2. Step 2: Convert to fraction form
    22,145.32/30,564.48 = 13,198/x
  3. Step 3: Cross multiply
    22,145.32x = 30,564.48 × 13,198
  4. Step 4: Simplify right side
    22,145.32x = 403,390,007.04
  5. Step 5: Solve for x
    x = 403,390,007.04/22,145.32
  6. Step 6: Final answer
    x = 18,215.59

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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.