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Finding the Fourth Proportional to 11,813.60, 17,763.60 and 9,912.80

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Solution

The fourth proportional to 11,813.60, 17,763.60 and 9,912.80 is: 14,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.60 : 17,763.60 = 9,912.80 : x
  2. Step 2: Convert to fraction form
    11,813.60/17,763.60 = 9,912.80/x
  3. Step 3: Cross multiply
    11,813.60x = 17,763.60 × 9,912.80
  4. Step 4: Simplify right side
    11,813.60x = 176,087,014.08
  5. Step 5: Solve for x
    x = 176,087,014.08/11,813.60
  6. Step 6: Final answer
    x = 14,905.45

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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.