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Finding the Fourth Proportional to 21,971.76, 32,961.99 and 7,176.72

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Solution

The fourth proportional to 21,971.76, 32,961.99 and 7,176.72 is: 10,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.76 : 32,961.99 = 7,176.72 : x
  2. Step 2: Convert to fraction form
    21,971.76/32,961.99 = 7,176.72/x
  3. Step 3: Cross multiply
    21,971.76x = 32,961.99 × 7,176.72
  4. Step 4: Simplify right side
    21,971.76x = 236,558,972.87
  5. Step 5: Solve for x
    x = 236,558,972.87/21,971.76
  6. Step 6: Final answer
    x = 10,766.50

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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.