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Finding the Fourth Proportional to 22,987.84, 34,484.46 and 8,198.86

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Solution

The fourth proportional to 22,987.84, 34,484.46 and 8,198.86 is: 12,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987.84 : 34,484.46 = 8,198.86 : x
  2. Step 2: Convert to fraction form
    22,987.84/34,484.46 = 8,198.86/x
  3. Step 3: Cross multiply
    22,987.84x = 34,484.46 × 8,198.86
  4. Step 4: Simplify right side
    22,987.84x = 282,733,259.72
  5. Step 5: Solve for x
    x = 282,733,259.72/22,987.84
  6. Step 6: Final answer
    x = 12,299.25

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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.