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Finding the Fourth Proportional to 20,642.93, 30,963.82 and 6,602.84

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Solution

The fourth proportional to 20,642.93, 30,963.82 and 6,602.84 is: 9,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.93 : 30,963.82 = 6,602.84 : x
  2. Step 2: Convert to fraction form
    20,642.93/30,963.82 = 6,602.84/x
  3. Step 3: Cross multiply
    20,642.93x = 30,963.82 × 6,602.84
  4. Step 4: Simplify right side
    20,642.93x = 204,449,193.50
  5. Step 5: Solve for x
    x = 204,449,193.50/20,642.93
  6. Step 6: Final answer
    x = 9,904.08

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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.