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Finding the Fourth Proportional to 23,802.84, 35,708.04 and 8,221.68

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Solution

The fourth proportional to 23,802.84, 35,708.04 and 8,221.68 is: 12,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.84 : 35,708.04 = 8,221.68 : x
  2. Step 2: Convert to fraction form
    23,802.84/35,708.04 = 8,221.68/x
  3. Step 3: Cross multiply
    23,802.84x = 35,708.04 × 8,221.68
  4. Step 4: Simplify right side
    23,802.84x = 293,580,078.31
  5. Step 5: Solve for x
    x = 293,580,078.31/23,802.84
  6. Step 6: Final answer
    x = 12,333.83

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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.