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Finding the Fourth Proportional to 14,012.62, 19,354.16 and 10,229.72

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Solution

The fourth proportional to 14,012.62, 19,354.16 and 10,229.72 is: 14,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.62 : 19,354.16 = 10,229.72 : x
  2. Step 2: Convert to fraction form
    14,012.62/19,354.16 = 10,229.72/x
  3. Step 3: Cross multiply
    14,012.62x = 19,354.16 × 10,229.72
  4. Step 4: Simplify right side
    14,012.62x = 197,987,566.44
  5. Step 5: Solve for x
    x = 197,987,566.44/14,012.62
  6. Step 6: Final answer
    x = 14,129.24

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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.