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Finding the Fourth Proportional to 14,711.57, 20,301.53 and 7,997.03

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Solution

The fourth proportional to 14,711.57, 20,301.53 and 7,997.03 is: 11,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.57 : 20,301.53 = 7,997.03 : x
  2. Step 2: Convert to fraction form
    14,711.57/20,301.53 = 7,997.03/x
  3. Step 3: Cross multiply
    14,711.57x = 20,301.53 × 7,997.03
  4. Step 4: Simplify right side
    14,711.57x = 162,351,842.95
  5. Step 5: Solve for x
    x = 162,351,842.95/14,711.57
  6. Step 6: Final answer
    x = 11,035.66

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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.