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Finding the Fourth Proportional to 8,421.97, 12,632.99 and 2,181.54

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Solution

The fourth proportional to 8,421.97, 12,632.99 and 2,181.54 is: 3,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.97 : 12,632.99 = 2,181.54 : x
  2. Step 2: Convert to fraction form
    8,421.97/12,632.99 = 2,181.54/x
  3. Step 3: Cross multiply
    8,421.97x = 12,632.99 × 2,181.54
  4. Step 4: Simplify right side
    8,421.97x = 27,559,373.00
  5. Step 5: Solve for x
    x = 27,559,373.00/8,421.97
  6. Step 6: Final answer
    x = 3,272.32

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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.