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Finding the Fourth Proportional to 22,729.23, 34,093.49 and 7,146.86

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Solution

The fourth proportional to 22,729.23, 34,093.49 and 7,146.86 is: 10,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729.23 : 34,093.49 = 7,146.86 : x
  2. Step 2: Convert to fraction form
    22,729.23/34,093.49 = 7,146.86/x
  3. Step 3: Cross multiply
    22,729.23x = 34,093.49 × 7,146.86
  4. Step 4: Simplify right side
    22,729.23x = 243,661,193.74
  5. Step 5: Solve for x
    x = 243,661,193.74/22,729.23
  6. Step 6: Final answer
    x = 10,720.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.