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Finding the Fourth Proportional to 21,822.02, 32,744.76 and 8,674.50

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Solution

The fourth proportional to 21,822.02, 32,744.76 and 8,674.50 is: 13,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.02 : 32,744.76 = 8,674.50 : x
  2. Step 2: Convert to fraction form
    21,822.02/32,744.76 = 8,674.50/x
  3. Step 3: Cross multiply
    21,822.02x = 32,744.76 × 8,674.50
  4. Step 4: Simplify right side
    21,822.02x = 284,044,420.62
  5. Step 5: Solve for x
    x = 284,044,420.62/21,822.02
  6. Step 6: Final answer
    x = 13,016.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.