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Finding the Fourth Proportional to 14,823.42, 20,467.01 and 9,165.92

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Solution

The fourth proportional to 14,823.42, 20,467.01 and 9,165.92 is: 12,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.42 : 20,467.01 = 9,165.92 : x
  2. Step 2: Convert to fraction form
    14,823.42/20,467.01 = 9,165.92/x
  3. Step 3: Cross multiply
    14,823.42x = 20,467.01 × 9,165.92
  4. Step 4: Simplify right side
    14,823.42x = 187,598,976.30
  5. Step 5: Solve for x
    x = 187,598,976.30/14,823.42
  6. Step 6: Final answer
    x = 12,655.58

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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.