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Finding the Fourth Proportional to 12,468.81, 18,704.16 and 3,703.68

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Solution

The fourth proportional to 12,468.81, 18,704.16 and 3,703.68 is: 5,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.81 : 18,704.16 = 3,703.68 : x
  2. Step 2: Convert to fraction form
    12,468.81/18,704.16 = 3,703.68/x
  3. Step 3: Cross multiply
    12,468.81x = 18,704.16 × 3,703.68
  4. Step 4: Simplify right side
    12,468.81x = 69,274,223.31
  5. Step 5: Solve for x
    x = 69,274,223.31/12,468.81
  6. Step 6: Final answer
    x = 5,555.80

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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.