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Finding the Fourth Proportional to 14,108.52, 19,470.96 and 8,140.44

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Solution

The fourth proportional to 14,108.52, 19,470.96 and 8,140.44 is: 11,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.52 : 19,470.96 = 8,140.44 : x
  2. Step 2: Convert to fraction form
    14,108.52/19,470.96 = 8,140.44/x
  3. Step 3: Cross multiply
    14,108.52x = 19,470.96 × 8,140.44
  4. Step 4: Simplify right side
    14,108.52x = 158,502,181.62
  5. Step 5: Solve for x
    x = 158,502,181.62/14,108.52
  6. Step 6: Final answer
    x = 11,234.50

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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.