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Finding the Fourth Proportional to 14,711.69, 20,301.71 and 7,997.15

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Solution

The fourth proportional to 14,711.69, 20,301.71 and 7,997.15 is: 11,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.69 : 20,301.71 = 7,997.15 : x
  2. Step 2: Convert to fraction form
    14,711.69/20,301.71 = 7,997.15/x
  3. Step 3: Cross multiply
    14,711.69x = 20,301.71 × 7,997.15
  4. Step 4: Simplify right side
    14,711.69x = 162,355,820.13
  5. Step 5: Solve for x
    x = 162,355,820.13/14,711.69
  6. Step 6: Final answer
    x = 11,035.84

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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.