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Finding the Fourth Proportional to 14,330.39, 19,773.72 and 8,197.61

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Solution

The fourth proportional to 14,330.39, 19,773.72 and 8,197.61 is: 11,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,330.39 : 19,773.72 = 8,197.61 : x
  2. Step 2: Convert to fraction form
    14,330.39/19,773.72 = 8,197.61/x
  3. Step 3: Cross multiply
    14,330.39x = 19,773.72 × 8,197.61
  4. Step 4: Simplify right side
    14,330.39x = 162,097,145.94
  5. Step 5: Solve for x
    x = 162,097,145.94/14,330.39
  6. Step 6: Final answer
    x = 11,311.43

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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.