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Finding the Fourth Proportional to 20,657.18, 28,506.83 and 11,706.38

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Solution

The fourth proportional to 20,657.18, 28,506.83 and 11,706.38 is: 16,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.18 : 28,506.83 = 11,706.38 : x
  2. Step 2: Convert to fraction form
    20,657.18/28,506.83 = 11,706.38/x
  3. Step 3: Cross multiply
    20,657.18x = 28,506.83 × 11,706.38
  4. Step 4: Simplify right side
    20,657.18x = 333,711,784.58
  5. Step 5: Solve for x
    x = 333,711,784.58/20,657.18
  6. Step 6: Final answer
    x = 16,154.76

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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.