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Finding the Fourth Proportional to 14,294.34, 21,442.95 and 3,906.18

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Solution

The fourth proportional to 14,294.34, 21,442.95 and 3,906.18 is: 5,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.34 : 21,442.95 = 3,906.18 : x
  2. Step 2: Convert to fraction form
    14,294.34/21,442.95 = 3,906.18/x
  3. Step 3: Cross multiply
    14,294.34x = 21,442.95 × 3,906.18
  4. Step 4: Simplify right side
    14,294.34x = 83,760,022.43
  5. Step 5: Solve for x
    x = 83,760,022.43/14,294.34
  6. Step 6: Final answer
    x = 5,859.66

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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.