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Finding the Fourth Proportional to 21,091.59, 31,653.02 and 9,998.30

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Solution

The fourth proportional to 21,091.59, 31,653.02 and 9,998.30 is: 15,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091.59 : 31,653.02 = 9,998.30 : x
  2. Step 2: Convert to fraction form
    21,091.59/31,653.02 = 9,998.30/x
  3. Step 3: Cross multiply
    21,091.59x = 31,653.02 × 9,998.30
  4. Step 4: Simplify right side
    21,091.59x = 316,476,231.60
  5. Step 5: Solve for x
    x = 316,476,231.60/21,091.59
  6. Step 6: Final answer
    x = 15,004.86

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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.