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Finding the Fourth Proportional to 21,599.50, 32,400.44 and 6,809.58

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Solution

The fourth proportional to 21,599.50, 32,400.44 and 6,809.58 is: 10,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599.50 : 32,400.44 = 6,809.58 : x
  2. Step 2: Convert to fraction form
    21,599.50/32,400.44 = 6,809.58/x
  3. Step 3: Cross multiply
    21,599.50x = 32,400.44 × 6,809.58
  4. Step 4: Simplify right side
    21,599.50x = 220,633,388.22
  5. Step 5: Solve for x
    x = 220,633,388.22/21,599.50
  6. Step 6: Final answer
    x = 10,214.75

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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.