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Finding the Fourth Proportional to 16,069.76, 24,109 and 6,706.68

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Solution

The fourth proportional to 16,069.76, 24,109 and 6,706.68 is: 10,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.76 : 24,109 = 6,706.68 : x
  2. Step 2: Convert to fraction form
    16,069.76/24,109 = 6,706.68/x
  3. Step 3: Cross multiply
    16,069.76x = 24,109 × 6,706.68
  4. Step 4: Simplify right side
    16,069.76x = 161,691,348.12
  5. Step 5: Solve for x
    x = 161,691,348.12/16,069.76
  6. Step 6: Final answer
    x = 10,061.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.