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Finding the Fourth Proportional to 12,136.77, 18,200.16 and 4,643.10

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Solution

The fourth proportional to 12,136.77, 18,200.16 and 4,643.10 is: 6,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.77 : 18,200.16 = 4,643.10 : x
  2. Step 2: Convert to fraction form
    12,136.77/18,200.16 = 4,643.10/x
  3. Step 3: Cross multiply
    12,136.77x = 18,200.16 × 4,643.10
  4. Step 4: Simplify right side
    12,136.77x = 84,505,162.90
  5. Step 5: Solve for x
    x = 84,505,162.90/12,136.77
  6. Step 6: Final answer
    x = 6,962.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.