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Finding the Fourth Proportional to 12,453.55, 18,683.64 and 5,434.13

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Solution

The fourth proportional to 12,453.55, 18,683.64 and 5,434.13 is: 8,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.55 : 18,683.64 = 5,434.13 : x
  2. Step 2: Convert to fraction form
    12,453.55/18,683.64 = 5,434.13/x
  3. Step 3: Cross multiply
    12,453.55x = 18,683.64 × 5,434.13
  4. Step 4: Simplify right side
    12,453.55x = 101,529,235.22
  5. Step 5: Solve for x
    x = 101,529,235.22/12,453.55
  6. Step 6: Final answer
    x = 8,152.64

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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.