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Finding the Fourth Proportional to 14,333.41, 19,782.12 and 8,368.30

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Solution

The fourth proportional to 14,333.41, 19,782.12 and 8,368.30 is: 11,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.41 : 19,782.12 = 8,368.30 : x
  2. Step 2: Convert to fraction form
    14,333.41/19,782.12 = 8,368.30/x
  3. Step 3: Cross multiply
    14,333.41x = 19,782.12 × 8,368.30
  4. Step 4: Simplify right side
    14,333.41x = 165,542,714.80
  5. Step 5: Solve for x
    x = 165,542,714.80/14,333.41
  6. Step 6: Final answer
    x = 11,549.43

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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.