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Finding the Fourth Proportional to 21,598.41, 32,398.97 and 6,807.90

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Solution

The fourth proportional to 21,598.41, 32,398.97 and 6,807.90 is: 10,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.41 : 32,398.97 = 6,807.90 : x
  2. Step 2: Convert to fraction form
    21,598.41/32,398.97 = 6,807.90/x
  3. Step 3: Cross multiply
    21,598.41x = 32,398.97 × 6,807.90
  4. Step 4: Simplify right side
    21,598.41x = 220,568,913.82
  5. Step 5: Solve for x
    x = 220,568,913.82/21,598.41
  6. Step 6: Final answer
    x = 10,212.28

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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.