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Finding the Fourth Proportional to 14,855.29, 22,287.14 and 6,096.49

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Solution

The fourth proportional to 14,855.29, 22,287.14 and 6,096.49 is: 9,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855.29 : 22,287.14 = 6,096.49 : x
  2. Step 2: Convert to fraction form
    14,855.29/22,287.14 = 6,096.49/x
  3. Step 3: Cross multiply
    14,855.29x = 22,287.14 × 6,096.49
  4. Step 4: Simplify right side
    14,855.29x = 135,873,295.66
  5. Step 5: Solve for x
    x = 135,873,295.66/14,855.29
  6. Step 6: Final answer
    x = 9,146.46

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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.