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Finding the Fourth Proportional to 21,091.96, 31,653.58 and 9,998.67

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Solution

The fourth proportional to 21,091.96, 31,653.58 and 9,998.67 is: 15,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091.96 : 31,653.58 = 9,998.67 : x
  2. Step 2: Convert to fraction form
    21,091.96/31,653.58 = 9,998.67/x
  3. Step 3: Cross multiply
    21,091.96x = 31,653.58 × 9,998.67
  4. Step 4: Simplify right side
    21,091.96x = 316,493,700.74
  5. Step 5: Solve for x
    x = 316,493,700.74/21,091.96
  6. Step 6: Final answer
    x = 15,005.42

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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.