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Finding the Fourth Proportional to 12,445.64, 18,668.46 and 3,681.24

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Solution

The fourth proportional to 12,445.64, 18,668.46 and 3,681.24 is: 5,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,445.64 : 18,668.46 = 3,681.24 : x
  2. Step 2: Convert to fraction form
    12,445.64/18,668.46 = 3,681.24/x
  3. Step 3: Cross multiply
    12,445.64x = 18,668.46 × 3,681.24
  4. Step 4: Simplify right side
    12,445.64x = 68,723,081.69
  5. Step 5: Solve for x
    x = 68,723,081.69/12,445.64
  6. Step 6: Final answer
    x = 5,521.86

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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.