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Finding the Fourth Proportional to 20,097.69, 27,733 and 11,145.17

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Solution

The fourth proportional to 20,097.69, 27,733 and 11,145.17 is: 15,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.69 : 27,733 = 11,145.17 : x
  2. Step 2: Convert to fraction form
    20,097.69/27,733 = 11,145.17/x
  3. Step 3: Cross multiply
    20,097.69x = 27,733 × 11,145.17
  4. Step 4: Simplify right side
    20,097.69x = 309,088,999.61
  5. Step 5: Solve for x
    x = 309,088,999.61/20,097.69
  6. Step 6: Final answer
    x = 15,379.33

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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.