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Finding the Fourth Proportional to 16,201.72, 22,358.30 and 9,031.54

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Solution

The fourth proportional to 16,201.72, 22,358.30 and 9,031.54 is: 12,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.72 : 22,358.30 = 9,031.54 : x
  2. Step 2: Convert to fraction form
    16,201.72/22,358.30 = 9,031.54/x
  3. Step 3: Cross multiply
    16,201.72x = 22,358.30 × 9,031.54
  4. Step 4: Simplify right side
    16,201.72x = 201,929,880.78
  5. Step 5: Solve for x
    x = 201,929,880.78/16,201.72
  6. Step 6: Final answer
    x = 12,463.48

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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.