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Finding the Fourth Proportional to 16,129.40, 22,264.02 and 10,171

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Solution

The fourth proportional to 16,129.40, 22,264.02 and 10,171 is: 14,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.40 : 22,264.02 = 10,171 : x
  2. Step 2: Convert to fraction form
    16,129.40/22,264.02 = 10,171/x
  3. Step 3: Cross multiply
    16,129.40x = 22,264.02 × 10,171
  4. Step 4: Simplify right side
    16,129.40x = 226,447,347.42
  5. Step 5: Solve for x
    x = 226,447,347.42/16,129.40
  6. Step 6: Final answer
    x = 14,039.42

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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.