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Finding the Fourth Proportional to 21,628.70, 32,443.08 and 6,046.32

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Solution

The fourth proportional to 21,628.70, 32,443.08 and 6,046.32 is: 9,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,628.70 : 32,443.08 = 6,046.32 : x
  2. Step 2: Convert to fraction form
    21,628.70/32,443.08 = 6,046.32/x
  3. Step 3: Cross multiply
    21,628.70x = 32,443.08 × 6,046.32
  4. Step 4: Simplify right side
    21,628.70x = 196,161,243.47
  5. Step 5: Solve for x
    x = 196,161,243.47/21,628.70
  6. Step 6: Final answer
    x = 9,069.49

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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.