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Finding the Fourth Proportional to 26,833.38, 37,031.28 and 14,896.89

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Solution

The fourth proportional to 26,833.38, 37,031.28 and 14,896.89 is: 20,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,833.38 : 37,031.28 = 14,896.89 : x
  2. Step 2: Convert to fraction form
    26,833.38/37,031.28 = 14,896.89/x
  3. Step 3: Cross multiply
    26,833.38x = 37,031.28 × 14,896.89
  4. Step 4: Simplify right side
    26,833.38x = 551,650,904.72
  5. Step 5: Solve for x
    x = 551,650,904.72/26,833.38
  6. Step 6: Final answer
    x = 20,558.38

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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.