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Finding the Fourth Proportional to 26,856, 37,060.74 and 14,919

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Solution

The fourth proportional to 26,856, 37,060.74 and 14,919 is: 20,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856 : 37,060.74 = 14,919 : x
  2. Step 2: Convert to fraction form
    26,856/37,060.74 = 14,919/x
  3. Step 3: Cross multiply
    26,856x = 37,060.74 × 14,919
  4. Step 4: Simplify right side
    26,856x = 552,909,180.06
  5. Step 5: Solve for x
    x = 552,909,180.06/26,856
  6. Step 6: Final answer
    x = 20,587.92

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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.