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Finding the Fourth Proportional to 16,201.66, 22,358.55 and 9,032.17

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Solution

The fourth proportional to 16,201.66, 22,358.55 and 9,032.17 is: 12,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.66 : 22,358.55 = 9,032.17 : x
  2. Step 2: Convert to fraction form
    16,201.66/22,358.55 = 9,032.17/x
  3. Step 3: Cross multiply
    16,201.66x = 22,358.55 × 9,032.17
  4. Step 4: Simplify right side
    16,201.66x = 201,946,224.55
  5. Step 5: Solve for x
    x = 201,946,224.55/16,201.66
  6. Step 6: Final answer
    x = 12,464.54

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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.