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Finding the Fourth Proportional to 21,998.61, 32,990.94 and 7,204.11

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Solution

The fourth proportional to 21,998.61, 32,990.94 and 7,204.11 is: 10,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.61 : 32,990.94 = 7,204.11 : x
  2. Step 2: Convert to fraction form
    21,998.61/32,990.94 = 7,204.11/x
  3. Step 3: Cross multiply
    21,998.61x = 32,990.94 × 7,204.11
  4. Step 4: Simplify right side
    21,998.61x = 237,670,360.76
  5. Step 5: Solve for x
    x = 237,670,360.76/21,998.61
  6. Step 6: Final answer
    x = 10,803.88

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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.