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Finding the Fourth Proportional to 20,987.84, 31,484.64 and 6,197.84

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Solution

The fourth proportional to 20,987.84, 31,484.64 and 6,197.84 is: 9,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,987.84 : 31,484.64 = 6,197.84 : x
  2. Step 2: Convert to fraction form
    20,987.84/31,484.64 = 6,197.84/x
  3. Step 3: Cross multiply
    20,987.84x = 31,484.64 × 6,197.84
  4. Step 4: Simplify right side
    20,987.84x = 195,136,761.18
  5. Step 5: Solve for x
    x = 195,136,761.18/20,987.84
  6. Step 6: Final answer
    x = 9,297.61

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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.