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Finding the Fourth Proportional to 21,843.72, 32,754.06 and 9,525

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Solution

The fourth proportional to 21,843.72, 32,754.06 and 9,525 is: 14,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.72 : 32,754.06 = 9,525 : x
  2. Step 2: Convert to fraction form
    21,843.72/32,754.06 = 9,525/x
  3. Step 3: Cross multiply
    21,843.72x = 32,754.06 × 9,525
  4. Step 4: Simplify right side
    21,843.72x = 311,982,421.50
  5. Step 5: Solve for x
    x = 311,982,421.50/21,843.72
  6. Step 6: Final answer
    x = 14,282.48

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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.