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Finding the Fourth Proportional to 12,069.60, 18,104.40 and 5,834.40

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Solution

The fourth proportional to 12,069.60, 18,104.40 and 5,834.40 is: 8,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.60 : 18,104.40 = 5,834.40 : x
  2. Step 2: Convert to fraction form
    12,069.60/18,104.40 = 5,834.40/x
  3. Step 3: Cross multiply
    12,069.60x = 18,104.40 × 5,834.40
  4. Step 4: Simplify right side
    12,069.60x = 105,628,311.36
  5. Step 5: Solve for x
    x = 105,628,311.36/12,069.60
  6. Step 6: Final answer
    x = 8,751.60

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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.