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Finding the Fourth Proportional to 21,215.64, 31,796.10 and 8,720.64

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Solution

The fourth proportional to 21,215.64, 31,796.10 and 8,720.64 is: 13,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215.64 : 31,796.10 = 8,720.64 : x
  2. Step 2: Convert to fraction form
    21,215.64/31,796.10 = 8,720.64/x
  3. Step 3: Cross multiply
    21,215.64x = 31,796.10 × 8,720.64
  4. Step 4: Simplify right side
    21,215.64x = 277,282,341.50
  5. Step 5: Solve for x
    x = 277,282,341.50/21,215.64
  6. Step 6: Final answer
    x = 13,069.71

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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.