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Finding the Fourth Proportional to 15,221.70, 20,998.28 and 10,186.14

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Solution

The fourth proportional to 15,221.70, 20,998.28 and 10,186.14 is: 14,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.70 : 20,998.28 = 10,186.14 : x
  2. Step 2: Convert to fraction form
    15,221.70/20,998.28 = 10,186.14/x
  3. Step 3: Cross multiply
    15,221.70x = 20,998.28 × 10,186.14
  4. Step 4: Simplify right side
    15,221.70x = 213,891,419.84
  5. Step 5: Solve for x
    x = 213,891,419.84/15,221.70
  6. Step 6: Final answer
    x = 14,051.74

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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.