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Finding the Fourth Proportional to 34,684.08, 52,013.52 and 12,190.20

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Solution

The fourth proportional to 34,684.08, 52,013.52 and 12,190.20 is: 18,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,684.08 : 52,013.52 = 12,190.20 : x
  2. Step 2: Convert to fraction form
    34,684.08/52,013.52 = 12,190.20/x
  3. Step 3: Cross multiply
    34,684.08x = 52,013.52 × 12,190.20
  4. Step 4: Simplify right side
    34,684.08x = 634,055,211.50
  5. Step 5: Solve for x
    x = 634,055,211.50/34,684.08
  6. Step 6: Final answer
    x = 18,280.87

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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.