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Finding the Fourth Proportional to 23,809.84, 35,718.54 and 8,228.68

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Solution

The fourth proportional to 23,809.84, 35,718.54 and 8,228.68 is: 12,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.84 : 35,718.54 = 8,228.68 : x
  2. Step 2: Convert to fraction form
    23,809.84/35,718.54 = 8,228.68/x
  3. Step 3: Cross multiply
    23,809.84x = 35,718.54 × 8,228.68
  4. Step 4: Simplify right side
    23,809.84x = 293,916,435.73
  5. Step 5: Solve for x
    x = 293,916,435.73/23,809.84
  6. Step 6: Final answer
    x = 12,344.33

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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.