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Finding the Fourth Proportional to 19,564.12, 26,998.14 and 11,180.44

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Solution

The fourth proportional to 19,564.12, 26,998.14 and 11,180.44 is: 15,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.12 : 26,998.14 = 11,180.44 : x
  2. Step 2: Convert to fraction form
    19,564.12/26,998.14 = 11,180.44/x
  3. Step 3: Cross multiply
    19,564.12x = 26,998.14 × 11,180.44
  4. Step 4: Simplify right side
    19,564.12x = 301,851,084.38
  5. Step 5: Solve for x
    x = 301,851,084.38/19,564.12
  6. Step 6: Final answer
    x = 15,428.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.