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Finding the Fourth Proportional to 21,914.64, 32,886.60 and 8,063.64

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Solution

The fourth proportional to 21,914.64, 32,886.60 and 8,063.64 is: 12,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.64 : 32,886.60 = 8,063.64 : x
  2. Step 2: Convert to fraction form
    21,914.64/32,886.60 = 8,063.64/x
  3. Step 3: Cross multiply
    21,914.64x = 32,886.60 × 8,063.64
  4. Step 4: Simplify right side
    21,914.64x = 265,185,703.22
  5. Step 5: Solve for x
    x = 265,185,703.22/21,914.64
  6. Step 6: Final answer
    x = 12,100.85

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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.