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Finding the Fourth Proportional to 14,234.29, 19,641.83 and 8,264.80

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Solution

The fourth proportional to 14,234.29, 19,641.83 and 8,264.80 is: 11,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.29 : 19,641.83 = 8,264.80 : x
  2. Step 2: Convert to fraction form
    14,234.29/19,641.83 = 8,264.80/x
  3. Step 3: Cross multiply
    14,234.29x = 19,641.83 × 8,264.80
  4. Step 4: Simplify right side
    14,234.29x = 162,335,739.06
  5. Step 5: Solve for x
    x = 162,335,739.06/14,234.29
  6. Step 6: Final answer
    x = 11,404.55

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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.