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Finding the Fourth Proportional to 13,866.48, 19,136.52 and 9,147.42

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Solution

The fourth proportional to 13,866.48, 19,136.52 and 9,147.42 is: 12,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.48 : 19,136.52 = 9,147.42 : x
  2. Step 2: Convert to fraction form
    13,866.48/19,136.52 = 9,147.42/x
  3. Step 3: Cross multiply
    13,866.48x = 19,136.52 × 9,147.42
  4. Step 4: Simplify right side
    13,866.48x = 175,049,785.78
  5. Step 5: Solve for x
    x = 175,049,785.78/13,866.48
  6. Step 6: Final answer
    x = 12,623.95

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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.