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Finding the Fourth Proportional to 21,106.87, 31,648.59 and 8,635.64

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Solution

The fourth proportional to 21,106.87, 31,648.59 and 8,635.64 is: 12,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.87 : 31,648.59 = 8,635.64 : x
  2. Step 2: Convert to fraction form
    21,106.87/31,648.59 = 8,635.64/x
  3. Step 3: Cross multiply
    21,106.87x = 31,648.59 × 8,635.64
  4. Step 4: Simplify right side
    21,106.87x = 273,305,671.50
  5. Step 5: Solve for x
    x = 273,305,671.50/21,106.87
  6. Step 6: Final answer
    x = 12,948.66

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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.