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Finding the Fourth Proportional to 21,857.76, 30,163.40 and 12,297.62

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Solution

The fourth proportional to 21,857.76, 30,163.40 and 12,297.62 is: 16,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.76 : 30,163.40 = 12,297.62 : x
  2. Step 2: Convert to fraction form
    21,857.76/30,163.40 = 12,297.62/x
  3. Step 3: Cross multiply
    21,857.76x = 30,163.40 × 12,297.62
  4. Step 4: Simplify right side
    21,857.76x = 370,938,031.11
  5. Step 5: Solve for x
    x = 370,938,031.11/21,857.76
  6. Step 6: Final answer
    x = 16,970.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.