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Finding the Fourth Proportional to 12,853.50, 19,280.35 and 8,414.90

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Solution

The fourth proportional to 12,853.50, 19,280.35 and 8,414.90 is: 12,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.50 : 19,280.35 = 8,414.90 : x
  2. Step 2: Convert to fraction form
    12,853.50/19,280.35 = 8,414.90/x
  3. Step 3: Cross multiply
    12,853.50x = 19,280.35 × 8,414.90
  4. Step 4: Simplify right side
    12,853.50x = 162,242,264.75
  5. Step 5: Solve for x
    x = 162,242,264.75/12,853.50
  6. Step 6: Final answer
    x = 12,622.42

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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.