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Finding the Fourth Proportional to 12,465.64, 18,697.38 and 5,443.48

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Solution

The fourth proportional to 12,465.64, 18,697.38 and 5,443.48 is: 8,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.64 : 18,697.38 = 5,443.48 : x
  2. Step 2: Convert to fraction form
    12,465.64/18,697.38 = 5,443.48/x
  3. Step 3: Cross multiply
    12,465.64x = 18,697.38 × 5,443.48
  4. Step 4: Simplify right side
    12,465.64x = 101,778,814.08
  5. Step 5: Solve for x
    x = 101,778,814.08/12,465.64
  6. Step 6: Final answer
    x = 8,164.75

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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.