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Finding the Fourth Proportional to 14,092.54, 19,446.34 and 8,426.16

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Solution

The fourth proportional to 14,092.54, 19,446.34 and 8,426.16 is: 11,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.54 : 19,446.34 = 8,426.16 : x
  2. Step 2: Convert to fraction form
    14,092.54/19,446.34 = 8,426.16/x
  3. Step 3: Cross multiply
    14,092.54x = 19,446.34 × 8,426.16
  4. Step 4: Simplify right side
    14,092.54x = 163,857,972.25
  5. Step 5: Solve for x
    x = 163,857,972.25/14,092.54
  6. Step 6: Final answer
    x = 11,627.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.