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Finding the Fourth Proportional to 12,035.69, 18,056.61 and 4,638.17

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Solution

The fourth proportional to 12,035.69, 18,056.61 and 4,638.17 is: 6,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.69 : 18,056.61 = 4,638.17 : x
  2. Step 2: Convert to fraction form
    12,035.69/18,056.61 = 4,638.17/x
  3. Step 3: Cross multiply
    12,035.69x = 18,056.61 × 4,638.17
  4. Step 4: Simplify right side
    12,035.69x = 83,749,626.80
  5. Step 5: Solve for x
    x = 83,749,626.80/12,035.69
  6. Step 6: Final answer
    x = 6,958.44

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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.