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Finding the Fourth Proportional to 26,711, 36,856.78 and 14,772

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Solution

The fourth proportional to 26,711, 36,856.78 and 14,772 is: 20,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,711 : 36,856.78 = 14,772 : x
  2. Step 2: Convert to fraction form
    26,711/36,856.78 = 14,772/x
  3. Step 3: Cross multiply
    26,711x = 36,856.78 × 14,772
  4. Step 4: Simplify right side
    26,711x = 544,448,354.16
  5. Step 5: Solve for x
    x = 544,448,354.16/26,711
  6. Step 6: Final answer
    x = 20,382.93

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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.