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Finding the Fourth Proportional to 22,002.85, 32,997.33 and 7,208.47

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Solution

The fourth proportional to 22,002.85, 32,997.33 and 7,208.47 is: 10,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.85 : 32,997.33 = 7,208.47 : x
  2. Step 2: Convert to fraction form
    22,002.85/32,997.33 = 7,208.47/x
  3. Step 3: Cross multiply
    22,002.85x = 32,997.33 × 7,208.47
  4. Step 4: Simplify right side
    22,002.85x = 237,860,263.39
  5. Step 5: Solve for x
    x = 237,860,263.39/22,002.85
  6. Step 6: Final answer
    x = 10,810.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.