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Finding the Fourth Proportional to 14,137.40, 21,227.70 and 10,854.20

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Solution

The fourth proportional to 14,137.40, 21,227.70 and 10,854.20 is: 16,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.40 : 21,227.70 = 10,854.20 : x
  2. Step 2: Convert to fraction form
    14,137.40/21,227.70 = 10,854.20/x
  3. Step 3: Cross multiply
    14,137.40x = 21,227.70 × 10,854.20
  4. Step 4: Simplify right side
    14,137.40x = 230,409,701.34
  5. Step 5: Solve for x
    x = 230,409,701.34/14,137.40
  6. Step 6: Final answer
    x = 16,297.88

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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.