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Finding the Fourth Proportional to 22,705.70, 34,058.55 and 12,864.20

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Solution

The fourth proportional to 22,705.70, 34,058.55 and 12,864.20 is: 19,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.70 : 34,058.55 = 12,864.20 : x
  2. Step 2: Convert to fraction form
    22,705.70/34,058.55 = 12,864.20/x
  3. Step 3: Cross multiply
    22,705.70x = 34,058.55 × 12,864.20
  4. Step 4: Simplify right side
    22,705.70x = 438,135,998.91
  5. Step 5: Solve for x
    x = 438,135,998.91/22,705.70
  6. Step 6: Final answer
    x = 19,296.30

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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.