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Finding the Fourth Proportional to 21,563.29, 32,333.99 and 9,866.48

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Solution

The fourth proportional to 21,563.29, 32,333.99 and 9,866.48 is: 14,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.29 : 32,333.99 = 9,866.48 : x
  2. Step 2: Convert to fraction form
    21,563.29/32,333.99 = 9,866.48/x
  3. Step 3: Cross multiply
    21,563.29x = 32,333.99 × 9,866.48
  4. Step 4: Simplify right side
    21,563.29x = 319,022,721.82
  5. Step 5: Solve for x
    x = 319,022,721.82/21,563.29
  6. Step 6: Final answer
    x = 14,794.72

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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.