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Finding the Fourth Proportional to 22,657.68, 33,968.52 and 10,805.22

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Solution

The fourth proportional to 22,657.68, 33,968.52 and 10,805.22 is: 16,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.68 : 33,968.52 = 10,805.22 : x
  2. Step 2: Convert to fraction form
    22,657.68/33,968.52 = 10,805.22/x
  3. Step 3: Cross multiply
    22,657.68x = 33,968.52 × 10,805.22
  4. Step 4: Simplify right side
    22,657.68x = 367,037,331.67
  5. Step 5: Solve for x
    x = 367,037,331.67/22,657.68
  6. Step 6: Final answer
    x = 16,199.25

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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.