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Finding the Fourth Proportional to 14,136.72, 19,505.16 and 7,847.52

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Solution

The fourth proportional to 14,136.72, 19,505.16 and 7,847.52 is: 10,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.72 : 19,505.16 = 7,847.52 : x
  2. Step 2: Convert to fraction form
    14,136.72/19,505.16 = 7,847.52/x
  3. Step 3: Cross multiply
    14,136.72x = 19,505.16 × 7,847.52
  4. Step 4: Simplify right side
    14,136.72x = 153,067,133.20
  5. Step 5: Solve for x
    x = 153,067,133.20/14,136.72
  6. Step 6: Final answer
    x = 10,827.63

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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.