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Finding the Fourth Proportional to 16,661.92, 25,031.76 and 9,741.28

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Solution

The fourth proportional to 16,661.92, 25,031.76 and 9,741.28 is: 14,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661.92 : 25,031.76 = 9,741.28 : x
  2. Step 2: Convert to fraction form
    16,661.92/25,031.76 = 9,741.28/x
  3. Step 3: Cross multiply
    16,661.92x = 25,031.76 × 9,741.28
  4. Step 4: Simplify right side
    16,661.92x = 243,841,383.05
  5. Step 5: Solve for x
    x = 243,841,383.05/16,661.92
  6. Step 6: Final answer
    x = 14,634.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.