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Finding the Fourth Proportional to 21,642.80, 32,469.95 and 6,852.02

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Solution

The fourth proportional to 21,642.80, 32,469.95 and 6,852.02 is: 10,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.80 : 32,469.95 = 6,852.02 : x
  2. Step 2: Convert to fraction form
    21,642.80/32,469.95 = 6,852.02/x
  3. Step 3: Cross multiply
    21,642.80x = 32,469.95 × 6,852.02
  4. Step 4: Simplify right side
    21,642.80x = 222,484,550.19
  5. Step 5: Solve for x
    x = 222,484,550.19/21,642.80
  6. Step 6: Final answer
    x = 10,279.84

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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.