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Finding the Fourth Proportional to 22,906.18, 34,326.87 and 9,745.30

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Solution

The fourth proportional to 22,906.18, 34,326.87 and 9,745.30 is: 14,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.18 : 34,326.87 = 9,745.30 : x
  2. Step 2: Convert to fraction form
    22,906.18/34,326.87 = 9,745.30/x
  3. Step 3: Cross multiply
    22,906.18x = 34,326.87 × 9,745.30
  4. Step 4: Simplify right side
    22,906.18x = 334,525,646.21
  5. Step 5: Solve for x
    x = 334,525,646.21/22,906.18
  6. Step 6: Final answer
    x = 14,604.17

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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.