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Finding the Fourth Proportional to 22,003.12, 32,991.49 and 7,003.76

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Solution

The fourth proportional to 22,003.12, 32,991.49 and 7,003.76 is: 10,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003.12 : 32,991.49 = 7,003.76 : x
  2. Step 2: Convert to fraction form
    22,003.12/32,991.49 = 7,003.76/x
  3. Step 3: Cross multiply
    22,003.12x = 32,991.49 × 7,003.76
  4. Step 4: Simplify right side
    22,003.12x = 231,064,334.93
  5. Step 5: Solve for x
    x = 231,064,334.93/22,003.12
  6. Step 6: Final answer
    x = 10,501.44

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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.