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Finding the Fourth Proportional to 16,212.67, 22,373.03 and 9,042.80

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Solution

The fourth proportional to 16,212.67, 22,373.03 and 9,042.80 is: 12,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.67 : 22,373.03 = 9,042.80 : x
  2. Step 2: Convert to fraction form
    16,212.67/22,373.03 = 9,042.80/x
  3. Step 3: Cross multiply
    16,212.67x = 22,373.03 × 9,042.80
  4. Step 4: Simplify right side
    16,212.67x = 202,314,746.43
  5. Step 5: Solve for x
    x = 202,314,746.43/16,212.67
  6. Step 6: Final answer
    x = 12,478.81

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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.