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Finding the Fourth Proportional to 14,596.24, 20,144.01 and 8,309.02

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Solution

The fourth proportional to 14,596.24, 20,144.01 and 8,309.02 is: 11,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.24 : 20,144.01 = 8,309.02 : x
  2. Step 2: Convert to fraction form
    14,596.24/20,144.01 = 8,309.02/x
  3. Step 3: Cross multiply
    14,596.24x = 20,144.01 × 8,309.02
  4. Step 4: Simplify right side
    14,596.24x = 167,376,981.97
  5. Step 5: Solve for x
    x = 167,376,981.97/14,596.24
  6. Step 6: Final answer
    x = 11,467.13

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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.