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Finding the Fourth Proportional to 14,285.25, 19,713.65 and 7,997.67

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Solution

The fourth proportional to 14,285.25, 19,713.65 and 7,997.67 is: 11,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.25 : 19,713.65 = 7,997.67 : x
  2. Step 2: Convert to fraction form
    14,285.25/19,713.65 = 7,997.67/x
  3. Step 3: Cross multiply
    14,285.25x = 19,713.65 × 7,997.67
  4. Step 4: Simplify right side
    14,285.25x = 157,663,227.21
  5. Step 5: Solve for x
    x = 157,663,227.21/14,285.25
  6. Step 6: Final answer
    x = 11,036.78

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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.