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Finding the Fourth Proportional to 14,168.49, 21,253.95 and 6,778.86

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Solution

The fourth proportional to 14,168.49, 21,253.95 and 6,778.86 is: 10,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,168.49 : 21,253.95 = 6,778.86 : x
  2. Step 2: Convert to fraction form
    14,168.49/21,253.95 = 6,778.86/x
  3. Step 3: Cross multiply
    14,168.49x = 21,253.95 × 6,778.86
  4. Step 4: Simplify right side
    14,168.49x = 144,077,551.50
  5. Step 5: Solve for x
    x = 144,077,551.50/14,168.49
  6. Step 6: Final answer
    x = 10,168.87

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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.