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Finding the Fourth Proportional to 22,712.09, 34,018.90 and 11,000.75

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Solution

The fourth proportional to 22,712.09, 34,018.90 and 11,000.75 is: 16,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.09 : 34,018.90 = 11,000.75 : x
  2. Step 2: Convert to fraction form
    22,712.09/34,018.90 = 11,000.75/x
  3. Step 3: Cross multiply
    22,712.09x = 34,018.90 × 11,000.75
  4. Step 4: Simplify right side
    22,712.09x = 374,233,414.18
  5. Step 5: Solve for x
    x = 374,233,414.18/22,712.09
  6. Step 6: Final answer
    x = 16,477.28

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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.