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Finding the Fourth Proportional to 12,309.69, 18,465.66 and 4,912.35

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Solution

The fourth proportional to 12,309.69, 18,465.66 and 4,912.35 is: 7,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.69 : 18,465.66 = 4,912.35 : x
  2. Step 2: Convert to fraction form
    12,309.69/18,465.66 = 4,912.35/x
  3. Step 3: Cross multiply
    12,309.69x = 18,465.66 × 4,912.35
  4. Step 4: Simplify right side
    12,309.69x = 90,709,784.90
  5. Step 5: Solve for x
    x = 90,709,784.90/12,309.69
  6. Step 6: Final answer
    x = 7,368.97

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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.