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Finding the Fourth Proportional to 14,285.19, 19,713.53 and 7,997.57

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Solution

The fourth proportional to 14,285.19, 19,713.53 and 7,997.57 is: 11,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.19 : 19,713.53 = 7,997.57 : x
  2. Step 2: Convert to fraction form
    14,285.19/19,713.53 = 7,997.57/x
  3. Step 3: Cross multiply
    14,285.19x = 19,713.53 × 7,997.57
  4. Step 4: Simplify right side
    14,285.19x = 157,660,197.57
  5. Step 5: Solve for x
    x = 157,660,197.57/14,285.19
  6. Step 6: Final answer
    x = 11,036.62

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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.