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Finding the Fourth Proportional to 21,988.96, 32,980.24 and 7,198.46

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Solution

The fourth proportional to 21,988.96, 32,980.24 and 7,198.46 is: 10,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.96 : 32,980.24 = 7,198.46 : x
  2. Step 2: Convert to fraction form
    21,988.96/32,980.24 = 7,198.46/x
  3. Step 3: Cross multiply
    21,988.96x = 32,980.24 × 7,198.46
  4. Step 4: Simplify right side
    21,988.96x = 237,406,938.43
  5. Step 5: Solve for x
    x = 237,406,938.43/21,988.96
  6. Step 6: Final answer
    x = 10,796.64

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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.