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Finding the Fourth Proportional to 14,420.66, 21,640.80 and 5,654.48

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Solution

The fourth proportional to 14,420.66, 21,640.80 and 5,654.48 is: 8,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.66 : 21,640.80 = 5,654.48 : x
  2. Step 2: Convert to fraction form
    14,420.66/21,640.80 = 5,654.48/x
  3. Step 3: Cross multiply
    14,420.66x = 21,640.80 × 5,654.48
  4. Step 4: Simplify right side
    14,420.66x = 122,367,470.78
  5. Step 5: Solve for x
    x = 122,367,470.78/14,420.66
  6. Step 6: Final answer
    x = 8,485.57

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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.