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Finding the Fourth Proportional to 19,094.22, 28,649.82 and 7,408.34

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Solution

The fourth proportional to 19,094.22, 28,649.82 and 7,408.34 is: 11,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,094.22 : 28,649.82 = 7,408.34 : x
  2. Step 2: Convert to fraction form
    19,094.22/28,649.82 = 7,408.34/x
  3. Step 3: Cross multiply
    19,094.22x = 28,649.82 × 7,408.34
  4. Step 4: Simplify right side
    19,094.22x = 212,247,607.50
  5. Step 5: Solve for x
    x = 212,247,607.50/19,094.22
  6. Step 6: Final answer
    x = 11,115.80

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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.