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Finding the Fourth Proportional to 12,097.62, 18,109.58 and 9,735.66

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Solution

The fourth proportional to 12,097.62, 18,109.58 and 9,735.66 is: 14,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.62 : 18,109.58 = 9,735.66 : x
  2. Step 2: Convert to fraction form
    12,097.62/18,109.58 = 9,735.66/x
  3. Step 3: Cross multiply
    12,097.62x = 18,109.58 × 9,735.66
  4. Step 4: Simplify right side
    12,097.62x = 176,308,664.94
  5. Step 5: Solve for x
    x = 176,308,664.94/12,097.62
  6. Step 6: Final answer
    x = 14,573.83

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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.