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Finding the Fourth Proportional to 12,230.64, 18,343.26 and 3,465.36

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Solution

The fourth proportional to 12,230.64, 18,343.26 and 3,465.36 is: 5,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.64 : 18,343.26 = 3,465.36 : x
  2. Step 2: Convert to fraction form
    12,230.64/18,343.26 = 3,465.36/x
  3. Step 3: Cross multiply
    12,230.64x = 18,343.26 × 3,465.36
  4. Step 4: Simplify right side
    12,230.64x = 63,565,999.47
  5. Step 5: Solve for x
    x = 63,565,999.47/12,230.64
  6. Step 6: Final answer
    x = 5,197.27

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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.