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Finding the Fourth Proportional to 13,942.80, 19,232.64 and 9,228.60

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Solution

The fourth proportional to 13,942.80, 19,232.64 and 9,228.60 is: 12,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.80 : 19,232.64 = 9,228.60 : x
  2. Step 2: Convert to fraction form
    13,942.80/19,232.64 = 9,228.60/x
  3. Step 3: Cross multiply
    13,942.80x = 19,232.64 × 9,228.60
  4. Step 4: Simplify right side
    13,942.80x = 177,490,341.50
  5. Step 5: Solve for x
    x = 177,490,341.50/13,942.80
  6. Step 6: Final answer
    x = 12,729.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.