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Finding the Fourth Proportional to 16,200.78, 22,354.37 and 9,029.13

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Solution

The fourth proportional to 16,200.78, 22,354.37 and 9,029.13 is: 12,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.78 : 22,354.37 = 9,029.13 : x
  2. Step 2: Convert to fraction form
    16,200.78/22,354.37 = 9,029.13/x
  3. Step 3: Cross multiply
    16,200.78x = 22,354.37 × 9,029.13
  4. Step 4: Simplify right side
    16,200.78x = 201,840,512.80
  5. Step 5: Solve for x
    x = 201,840,512.80/16,200.78
  6. Step 6: Final answer
    x = 12,458.69

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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.