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Finding the Fourth Proportional to 21,046.08, 31,568.96 and 8,734.08

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Solution

The fourth proportional to 21,046.08, 31,568.96 and 8,734.08 is: 13,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.08 : 31,568.96 = 8,734.08 : x
  2. Step 2: Convert to fraction form
    21,046.08/31,568.96 = 8,734.08/x
  3. Step 3: Cross multiply
    21,046.08x = 31,568.96 × 8,734.08
  4. Step 4: Simplify right side
    21,046.08x = 275,725,822.16
  5. Step 5: Solve for x
    x = 275,725,822.16/21,046.08
  6. Step 6: Final answer
    x = 13,101.05

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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.