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Finding the Fourth Proportional to 21,699.73, 32,552 and 6,905.22

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Solution

The fourth proportional to 21,699.73, 32,552 and 6,905.22 is: 10,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,699.73 : 32,552 = 6,905.22 : x
  2. Step 2: Convert to fraction form
    21,699.73/32,552 = 6,905.22/x
  3. Step 3: Cross multiply
    21,699.73x = 32,552 × 6,905.22
  4. Step 4: Simplify right side
    21,699.73x = 224,778,721.44
  5. Step 5: Solve for x
    x = 224,778,721.44/21,699.73
  6. Step 6: Final answer
    x = 10,358.60

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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.