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Finding the Fourth Proportional to 14,297.40, 21,467.70 and 11,014.20

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Solution

The fourth proportional to 14,297.40, 21,467.70 and 11,014.20 is: 16,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.40 : 21,467.70 = 11,014.20 : x
  2. Step 2: Convert to fraction form
    14,297.40/21,467.70 = 11,014.20/x
  3. Step 3: Cross multiply
    14,297.40x = 21,467.70 × 11,014.20
  4. Step 4: Simplify right side
    14,297.40x = 236,449,541.34
  5. Step 5: Solve for x
    x = 236,449,541.34/14,297.40
  6. Step 6: Final answer
    x = 16,537.94

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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.