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Finding the Fourth Proportional to 12,453.04, 18,682.38 and 3,688

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Solution

The fourth proportional to 12,453.04, 18,682.38 and 3,688 is: 5,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.04 : 18,682.38 = 3,688 : x
  2. Step 2: Convert to fraction form
    12,453.04/18,682.38 = 3,688/x
  3. Step 3: Cross multiply
    12,453.04x = 18,682.38 × 3,688
  4. Step 4: Simplify right side
    12,453.04x = 68,900,617.44
  5. Step 5: Solve for x
    x = 68,900,617.44/12,453.04
  6. Step 6: Final answer
    x = 5,532.84

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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.