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Finding the Fourth Proportional to 14,596.29, 20,145.29 and 8,308.53

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Solution

The fourth proportional to 14,596.29, 20,145.29 and 8,308.53 is: 11,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.29 : 20,145.29 = 8,308.53 : x
  2. Step 2: Convert to fraction form
    14,596.29/20,145.29 = 8,308.53/x
  3. Step 3: Cross multiply
    14,596.29x = 20,145.29 × 8,308.53
  4. Step 4: Simplify right side
    14,596.29x = 167,377,704.78
  5. Step 5: Solve for x
    x = 167,377,704.78/14,596.29
  6. Step 6: Final answer
    x = 11,467.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.