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Finding the Fourth Proportional to 12,096.61, 18,140.26 and 4,700.09

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Solution

The fourth proportional to 12,096.61, 18,140.26 and 4,700.09 is: 7,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.61 : 18,140.26 = 4,700.09 : x
  2. Step 2: Convert to fraction form
    12,096.61/18,140.26 = 4,700.09/x
  3. Step 3: Cross multiply
    12,096.61x = 18,140.26 × 4,700.09
  4. Step 4: Simplify right side
    12,096.61x = 85,260,854.62
  5. Step 5: Solve for x
    x = 85,260,854.62/12,096.61
  6. Step 6: Final answer
    x = 7,048.33

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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.