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Finding the Fourth Proportional to 20,649.84, 31,091.52 and 18,200.40

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Solution

The fourth proportional to 20,649.84, 31,091.52 and 18,200.40 is: 27,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.84 : 31,091.52 = 18,200.40 : x
  2. Step 2: Convert to fraction form
    20,649.84/31,091.52 = 18,200.40/x
  3. Step 3: Cross multiply
    20,649.84x = 31,091.52 × 18,200.40
  4. Step 4: Simplify right side
    20,649.84x = 565,878,100.61
  5. Step 5: Solve for x
    x = 565,878,100.61/20,649.84
  6. Step 6: Final answer
    x = 27,403.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.