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Finding the Fourth Proportional to 12,457.60, 18,682.35 and 4,136.20

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Solution

The fourth proportional to 12,457.60, 18,682.35 and 4,136.20 is: 6,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.60 : 18,682.35 = 4,136.20 : x
  2. Step 2: Convert to fraction form
    12,457.60/18,682.35 = 4,136.20/x
  3. Step 3: Cross multiply
    12,457.60x = 18,682.35 × 4,136.20
  4. Step 4: Simplify right side
    12,457.60x = 77,273,936.07
  5. Step 5: Solve for x
    x = 77,273,936.07/12,457.60
  6. Step 6: Final answer
    x = 6,202.96

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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.