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Finding the Fourth Proportional to 16,119.02, 22,254.57 and 13,142

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Solution

The fourth proportional to 16,119.02, 22,254.57 and 13,142 is: 18,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.02 : 22,254.57 = 13,142 : x
  2. Step 2: Convert to fraction form
    16,119.02/22,254.57 = 13,142/x
  3. Step 3: Cross multiply
    16,119.02x = 22,254.57 × 13,142
  4. Step 4: Simplify right side
    16,119.02x = 292,469,558.94
  5. Step 5: Solve for x
    x = 292,469,558.94/16,119.02
  6. Step 6: Final answer
    x = 18,144.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.