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Finding the Fourth Proportional to 22,205.80, 33,308.70 and 13,457.80

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Solution

The fourth proportional to 22,205.80, 33,308.70 and 13,457.80 is: 20,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.80 : 33,308.70 = 13,457.80 : x
  2. Step 2: Convert to fraction form
    22,205.80/33,308.70 = 13,457.80/x
  3. Step 3: Cross multiply
    22,205.80x = 33,308.70 × 13,457.80
  4. Step 4: Simplify right side
    22,205.80x = 448,261,822.86
  5. Step 5: Solve for x
    x = 448,261,822.86/22,205.80
  6. Step 6: Final answer
    x = 20,186.70

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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.