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Finding the Fourth Proportional to 21,587.12, 32,383 and 6,796.48

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Solution

The fourth proportional to 21,587.12, 32,383 and 6,796.48 is: 10,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,587.12 : 32,383 = 6,796.48 : x
  2. Step 2: Convert to fraction form
    21,587.12/32,383 = 6,796.48/x
  3. Step 3: Cross multiply
    21,587.12x = 32,383 × 6,796.48
  4. Step 4: Simplify right side
    21,587.12x = 220,090,411.84
  5. Step 5: Solve for x
    x = 220,090,411.84/21,587.12
  6. Step 6: Final answer
    x = 10,195.45

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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.