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Finding the Fourth Proportional to 12,097.35, 18,141.69 and 4,304.61

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Solution

The fourth proportional to 12,097.35, 18,141.69 and 4,304.61 is: 6,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.35 : 18,141.69 = 4,304.61 : x
  2. Step 2: Convert to fraction form
    12,097.35/18,141.69 = 4,304.61/x
  3. Step 3: Cross multiply
    12,097.35x = 18,141.69 × 4,304.61
  4. Step 4: Simplify right side
    12,097.35x = 78,092,900.19
  5. Step 5: Solve for x
    x = 78,092,900.19/12,097.35
  6. Step 6: Final answer
    x = 6,455.37

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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.