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Finding the Fourth Proportional to 12,230.64, 18,345.96 and 3,465.60

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Solution

The fourth proportional to 12,230.64, 18,345.96 and 3,465.60 is: 5,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.64 : 18,345.96 = 3,465.60 : x
  2. Step 2: Convert to fraction form
    12,230.64/18,345.96 = 3,465.60/x
  3. Step 3: Cross multiply
    12,230.64x = 18,345.96 × 3,465.60
  4. Step 4: Simplify right side
    12,230.64x = 63,579,758.98
  5. Step 5: Solve for x
    x = 63,579,758.98/12,230.64
  6. Step 6: Final answer
    x = 5,198.40

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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.