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Finding the Fourth Proportional to 14,422.26, 19,902.74 and 8,134.64

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Solution

The fourth proportional to 14,422.26, 19,902.74 and 8,134.64 is: 11,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.26 : 19,902.74 = 8,134.64 : x
  2. Step 2: Convert to fraction form
    14,422.26/19,902.74 = 8,134.64/x
  3. Step 3: Cross multiply
    14,422.26x = 19,902.74 × 8,134.64
  4. Step 4: Simplify right side
    14,422.26x = 161,901,484.73
  5. Step 5: Solve for x
    x = 161,901,484.73/14,422.26
  6. Step 6: Final answer
    x = 11,225.81

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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.