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Finding the Fourth Proportional to 20,800.84, 28,705.17 and 11,369.40

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Solution

The fourth proportional to 20,800.84, 28,705.17 and 11,369.40 is: 15,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.84 : 28,705.17 = 11,369.40 : x
  2. Step 2: Convert to fraction form
    20,800.84/28,705.17 = 11,369.40/x
  3. Step 3: Cross multiply
    20,800.84x = 28,705.17 × 11,369.40
  4. Step 4: Simplify right side
    20,800.84x = 326,360,624.10
  5. Step 5: Solve for x
    x = 326,360,624.10/20,800.84
  6. Step 6: Final answer
    x = 15,689.78

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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.