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Finding the Fourth Proportional to 22,459.90, 33,679.98 and 8,410.07

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Solution

The fourth proportional to 22,459.90, 33,679.98 and 8,410.07 is: 12,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.90 : 33,679.98 = 8,410.07 : x
  2. Step 2: Convert to fraction form
    22,459.90/33,679.98 = 8,410.07/x
  3. Step 3: Cross multiply
    22,459.90x = 33,679.98 × 8,410.07
  4. Step 4: Simplify right side
    22,459.90x = 283,250,989.40
  5. Step 5: Solve for x
    x = 283,250,989.40/22,459.90
  6. Step 6: Final answer
    x = 12,611.41

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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.