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Finding the Fourth Proportional to 12,097.85, 18,139.70 and 4,693.65

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Solution

The fourth proportional to 12,097.85, 18,139.70 and 4,693.65 is: 7,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.85 : 18,139.70 = 4,693.65 : x
  2. Step 2: Convert to fraction form
    12,097.85/18,139.70 = 4,693.65/x
  3. Step 3: Cross multiply
    12,097.85x = 18,139.70 × 4,693.65
  4. Step 4: Simplify right side
    12,097.85x = 85,141,402.91
  5. Step 5: Solve for x
    x = 85,141,402.91/12,097.85
  6. Step 6: Final answer
    x = 7,037.73

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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.