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Finding the Fourth Proportional to 21,822.01, 32,744.76 and 8,674.51

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Solution

The fourth proportional to 21,822.01, 32,744.76 and 8,674.51 is: 13,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.01 : 32,744.76 = 8,674.51 : x
  2. Step 2: Convert to fraction form
    21,822.01/32,744.76 = 8,674.51/x
  3. Step 3: Cross multiply
    21,822.01x = 32,744.76 × 8,674.51
  4. Step 4: Simplify right side
    21,822.01x = 284,044,748.07
  5. Step 5: Solve for x
    x = 284,044,748.07/21,822.01
  6. Step 6: Final answer
    x = 13,016.43

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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.