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Finding the Fourth Proportional to 26,816.84, 40,212.74 and 9,949.17

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Solution

The fourth proportional to 26,816.84, 40,212.74 and 9,949.17 is: 14,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816.84 : 40,212.74 = 9,949.17 : x
  2. Step 2: Convert to fraction form
    26,816.84/40,212.74 = 9,949.17/x
  3. Step 3: Cross multiply
    26,816.84x = 40,212.74 × 9,949.17
  4. Step 4: Simplify right side
    26,816.84x = 400,083,386.43
  5. Step 5: Solve for x
    x = 400,083,386.43/26,816.84
  6. Step 6: Final answer
    x = 14,919.11

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1.5x scale

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.