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Finding the Fourth Proportional to 20,176.65, 27,841.26 and 11,223

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Solution

The fourth proportional to 20,176.65, 27,841.26 and 11,223 is: 15,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.65 : 27,841.26 = 11,223 : x
  2. Step 2: Convert to fraction form
    20,176.65/27,841.26 = 11,223/x
  3. Step 3: Cross multiply
    20,176.65x = 27,841.26 × 11,223
  4. Step 4: Simplify right side
    20,176.65x = 312,462,460.98
  5. Step 5: Solve for x
    x = 312,462,460.98/20,176.65
  6. Step 6: Final answer
    x = 15,486.34

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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.