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Finding the Fourth Proportional to 16,201.69, 22,359.46 and 9,128.13

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Solution

The fourth proportional to 16,201.69, 22,359.46 and 9,128.13 is: 12,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.69 : 22,359.46 = 9,128.13 : x
  2. Step 2: Convert to fraction form
    16,201.69/22,359.46 = 9,128.13/x
  3. Step 3: Cross multiply
    16,201.69x = 22,359.46 × 9,128.13
  4. Step 4: Simplify right side
    16,201.69x = 204,099,968.06
  5. Step 5: Solve for x
    x = 204,099,968.06/16,201.69
  6. Step 6: Final answer
    x = 12,597.45

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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.