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Finding the Fourth Proportional to 21,607.48, 32,396.82 and 7,754.68

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Solution

The fourth proportional to 21,607.48, 32,396.82 and 7,754.68 is: 11,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607.48 : 32,396.82 = 7,754.68 : x
  2. Step 2: Convert to fraction form
    21,607.48/32,396.82 = 7,754.68/x
  3. Step 3: Cross multiply
    21,607.48x = 32,396.82 × 7,754.68
  4. Step 4: Simplify right side
    21,607.48x = 251,226,972.12
  5. Step 5: Solve for x
    x = 251,226,972.12/21,607.48
  6. Step 6: Final answer
    x = 11,626.85

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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.