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Finding the Fourth Proportional to 13,993.36, 19,310.16 and 7,705.60

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Solution

The fourth proportional to 13,993.36, 19,310.16 and 7,705.60 is: 10,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.36 : 19,310.16 = 7,705.60 : x
  2. Step 2: Convert to fraction form
    13,993.36/19,310.16 = 7,705.60/x
  3. Step 3: Cross multiply
    13,993.36x = 19,310.16 × 7,705.60
  4. Step 4: Simplify right side
    13,993.36x = 148,796,368.90
  5. Step 5: Solve for x
    x = 148,796,368.90/13,993.36
  6. Step 6: Final answer
    x = 10,633.36

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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.