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Finding the Fourth Proportional to 22,885.86, 31,583.01 and 12,814.02

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Solution

The fourth proportional to 22,885.86, 31,583.01 and 12,814.02 is: 17,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.86 : 31,583.01 = 12,814.02 : x
  2. Step 2: Convert to fraction form
    22,885.86/31,583.01 = 12,814.02/x
  3. Step 3: Cross multiply
    22,885.86x = 31,583.01 × 12,814.02
  4. Step 4: Simplify right side
    22,885.86x = 404,705,321.80
  5. Step 5: Solve for x
    x = 404,705,321.80/22,885.86
  6. Step 6: Final answer
    x = 17,683.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.