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Finding the Fourth Proportional to 16,434.12, 22,659.24 and 11,402.64

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Solution

The fourth proportional to 16,434.12, 22,659.24 and 11,402.64 is: 15,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.12 : 22,659.24 = 11,402.64 : x
  2. Step 2: Convert to fraction form
    16,434.12/22,659.24 = 11,402.64/x
  3. Step 3: Cross multiply
    16,434.12x = 22,659.24 × 11,402.64
  4. Step 4: Simplify right side
    16,434.12x = 258,375,156.39
  5. Step 5: Solve for x
    x = 258,375,156.39/16,434.12
  6. Step 6: Final answer
    x = 15,721.87

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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.