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Finding the Fourth Proportional to 14,657.68, 21,997.32 and 9,119.17

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Solution

The fourth proportional to 14,657.68, 21,997.32 and 9,119.17 is: 13,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.68 : 21,997.32 = 9,119.17 : x
  2. Step 2: Convert to fraction form
    14,657.68/21,997.32 = 9,119.17/x
  3. Step 3: Cross multiply
    14,657.68x = 21,997.32 × 9,119.17
  4. Step 4: Simplify right side
    14,657.68x = 200,597,300.62
  5. Step 5: Solve for x
    x = 200,597,300.62/14,657.68
  6. Step 6: Final answer
    x = 13,685.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.