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Finding the Fourth Proportional to 12,457.85, 18,683.57 and 3,690.71

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Solution

The fourth proportional to 12,457.85, 18,683.57 and 3,690.71 is: 5,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.85 : 18,683.57 = 3,690.71 : x
  2. Step 2: Convert to fraction form
    12,457.85/18,683.57 = 3,690.71/x
  3. Step 3: Cross multiply
    12,457.85x = 18,683.57 × 3,690.71
  4. Step 4: Simplify right side
    12,457.85x = 68,955,624.51
  5. Step 5: Solve for x
    x = 68,955,624.51/12,457.85
  6. Step 6: Final answer
    x = 5,535.12

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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.