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Finding the Fourth Proportional to 20,915.00, 31,365.85 and 6,871.79

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Solution

The fourth proportional to 20,915.00, 31,365.85 and 6,871.79 is: 10,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.00 : 31,365.85 = 6,871.79 : x
  2. Step 2: Convert to fraction form
    20,915.00/31,365.85 = 6,871.79/x
  3. Step 3: Cross multiply
    20,915.00x = 31,365.85 × 6,871.79
  4. Step 4: Simplify right side
    20,915.00x = 215,539,645.04
  5. Step 5: Solve for x
    x = 215,539,645.04/20,915.00
  6. Step 6: Final answer
    x = 10,305.50

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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.