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Finding the Fourth Proportional to 20,809.50, 28,717.12 and 11,378.14

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Solution

The fourth proportional to 20,809.50, 28,717.12 and 11,378.14 is: 15,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.50 : 28,717.12 = 11,378.14 : x
  2. Step 2: Convert to fraction form
    20,809.50/28,717.12 = 11,378.14/x
  3. Step 3: Cross multiply
    20,809.50x = 28,717.12 × 11,378.14
  4. Step 4: Simplify right side
    20,809.50x = 326,747,411.76
  5. Step 5: Solve for x
    x = 326,747,411.76/20,809.50
  6. Step 6: Final answer
    x = 15,701.84

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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.