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Finding the Fourth Proportional to 16,483.22, 24,713.31 and 8,153.06

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Solution

The fourth proportional to 16,483.22, 24,713.31 and 8,153.06 is: 12,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.22 : 24,713.31 = 8,153.06 : x
  2. Step 2: Convert to fraction form
    16,483.22/24,713.31 = 8,153.06/x
  3. Step 3: Cross multiply
    16,483.22x = 24,713.31 × 8,153.06
  4. Step 4: Simplify right side
    16,483.22x = 201,489,099.23
  5. Step 5: Solve for x
    x = 201,489,099.23/16,483.22
  6. Step 6: Final answer
    x = 12,223.89

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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.