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Finding the Fourth Proportional to 19,984.26, 27,578.47 and 11,031.57

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Solution

The fourth proportional to 19,984.26, 27,578.47 and 11,031.57 is: 15,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.26 : 27,578.47 = 11,031.57 : x
  2. Step 2: Convert to fraction form
    19,984.26/27,578.47 = 11,031.57/x
  3. Step 3: Cross multiply
    19,984.26x = 27,578.47 × 11,031.57
  4. Step 4: Simplify right side
    19,984.26x = 304,233,822.30
  5. Step 5: Solve for x
    x = 304,233,822.30/19,984.26
  6. Step 6: Final answer
    x = 15,223.67

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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.