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Finding the Fourth Proportional to 20,809.90, 28,717.67 and 11,378.47

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Solution

The fourth proportional to 20,809.90, 28,717.67 and 11,378.47 is: 15,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.90 : 28,717.67 = 11,378.47 : x
  2. Step 2: Convert to fraction form
    20,809.90/28,717.67 = 11,378.47/x
  3. Step 3: Cross multiply
    20,809.90x = 28,717.67 × 11,378.47
  4. Step 4: Simplify right side
    20,809.90x = 326,763,146.56
  5. Step 5: Solve for x
    x = 326,763,146.56/20,809.90
  6. Step 6: Final answer
    x = 15,702.29

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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.