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Finding the Fourth Proportional to 12,834.80, 19,246.80 and 4,064.92

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Solution

The fourth proportional to 12,834.80, 19,246.80 and 4,064.92 is: 6,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.80 : 19,246.80 = 4,064.92 : x
  2. Step 2: Convert to fraction form
    12,834.80/19,246.80 = 4,064.92/x
  3. Step 3: Cross multiply
    12,834.80x = 19,246.80 × 4,064.92
  4. Step 4: Simplify right side
    12,834.80x = 78,236,702.26
  5. Step 5: Solve for x
    x = 78,236,702.26/12,834.80
  6. Step 6: Final answer
    x = 6,095.67

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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.