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Finding the Fourth Proportional to 14,136.72, 19,509.12 and 8,168.28

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Solution

The fourth proportional to 14,136.72, 19,509.12 and 8,168.28 is: 11,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.72 : 19,509.12 = 8,168.28 : x
  2. Step 2: Convert to fraction form
    14,136.72/19,509.12 = 8,168.28/x
  3. Step 3: Cross multiply
    14,136.72x = 19,509.12 × 8,168.28
  4. Step 4: Simplify right side
    14,136.72x = 159,355,954.71
  5. Step 5: Solve for x
    x = 159,355,954.71/14,136.72
  6. Step 6: Final answer
    x = 11,272.48

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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.