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Finding the Fourth Proportional to 22,649.76, 33,986.86 and 13,308.03

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Solution

The fourth proportional to 22,649.76, 33,986.86 and 13,308.03 is: 19,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.76 : 33,986.86 = 13,308.03 : x
  2. Step 2: Convert to fraction form
    22,649.76/33,986.86 = 13,308.03/x
  3. Step 3: Cross multiply
    22,649.76x = 33,986.86 × 13,308.03
  4. Step 4: Simplify right side
    22,649.76x = 452,298,152.49
  5. Step 5: Solve for x
    x = 452,298,152.49/22,649.76
  6. Step 6: Final answer
    x = 19,969.22

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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.