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Finding the Fourth Proportional to 12,530.92, 18,796.83 and 4,211.20

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Solution

The fourth proportional to 12,530.92, 18,796.83 and 4,211.20 is: 6,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.92 : 18,796.83 = 4,211.20 : x
  2. Step 2: Convert to fraction form
    12,530.92/18,796.83 = 4,211.20/x
  3. Step 3: Cross multiply
    12,530.92x = 18,796.83 × 4,211.20
  4. Step 4: Simplify right side
    12,530.92x = 79,157,210.50
  5. Step 5: Solve for x
    x = 79,157,210.50/12,530.92
  6. Step 6: Final answer
    x = 6,316.95

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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.