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Finding the Fourth Proportional to 21,683.40, 32,514.84 and 9,997.80

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Solution

The fourth proportional to 21,683.40, 32,514.84 and 9,997.80 is: 14,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.40 : 32,514.84 = 9,997.80 : x
  2. Step 2: Convert to fraction form
    21,683.40/32,514.84 = 9,997.80/x
  3. Step 3: Cross multiply
    21,683.40x = 32,514.84 × 9,997.80
  4. Step 4: Simplify right side
    21,683.40x = 325,076,867.35
  5. Step 5: Solve for x
    x = 325,076,867.35/21,683.40
  6. Step 6: Final answer
    x = 14,991.97

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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.