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Finding the Fourth Proportional to 19,853.46, 29,778.48 and 6,702.30

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Solution

The fourth proportional to 19,853.46, 29,778.48 and 6,702.30 is: 10,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.46 : 29,778.48 = 6,702.30 : x
  2. Step 2: Convert to fraction form
    19,853.46/29,778.48 = 6,702.30/x
  3. Step 3: Cross multiply
    19,853.46x = 29,778.48 × 6,702.30
  4. Step 4: Simplify right side
    19,853.46x = 199,584,306.50
  5. Step 5: Solve for x
    x = 199,584,306.50/19,853.46
  6. Step 6: Final answer
    x = 10,052.87

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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.