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Finding the Fourth Proportional to 13,630.88, 18,813.84 and 8,660

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Solution

The fourth proportional to 13,630.88, 18,813.84 and 8,660 is: 11,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.88 : 18,813.84 = 8,660 : x
  2. Step 2: Convert to fraction form
    13,630.88/18,813.84 = 8,660/x
  3. Step 3: Cross multiply
    13,630.88x = 18,813.84 × 8,660
  4. Step 4: Simplify right side
    13,630.88x = 162,927,854.40
  5. Step 5: Solve for x
    x = 162,927,854.40/13,630.88
  6. Step 6: Final answer
    x = 11,952.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.