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Finding the Fourth Proportional to 12,457.70, 18,688.35 and 4,136.30

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Solution

The fourth proportional to 12,457.70, 18,688.35 and 4,136.30 is: 6,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.70 : 18,688.35 = 4,136.30 : x
  2. Step 2: Convert to fraction form
    12,457.70/18,688.35 = 4,136.30/x
  3. Step 3: Cross multiply
    12,457.70x = 18,688.35 × 4,136.30
  4. Step 4: Simplify right side
    12,457.70x = 77,300,622.11
  5. Step 5: Solve for x
    x = 77,300,622.11/12,457.70
  6. Step 6: Final answer
    x = 6,205.05

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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.