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Finding the Fourth Proportional to 21,841.50, 32,754.17 and 7,797.76

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Solution

The fourth proportional to 21,841.50, 32,754.17 and 7,797.76 is: 11,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.50 : 32,754.17 = 7,797.76 : x
  2. Step 2: Convert to fraction form
    21,841.50/32,754.17 = 7,797.76/x
  3. Step 3: Cross multiply
    21,841.50x = 32,754.17 × 7,797.76
  4. Step 4: Simplify right side
    21,841.50x = 255,409,094.27
  5. Step 5: Solve for x
    x = 255,409,094.27/21,841.50
  6. Step 6: Final answer
    x = 11,693.75

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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.