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Finding the Fourth Proportional to 13,930.75, 19,224.31 and 7,557.32

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Solution

The fourth proportional to 13,930.75, 19,224.31 and 7,557.32 is: 10,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.75 : 19,224.31 = 7,557.32 : x
  2. Step 2: Convert to fraction form
    13,930.75/19,224.31 = 7,557.32/x
  3. Step 3: Cross multiply
    13,930.75x = 19,224.31 × 7,557.32
  4. Step 4: Simplify right side
    13,930.75x = 145,284,262.45
  5. Step 5: Solve for x
    x = 145,284,262.45/13,930.75
  6. Step 6: Final answer
    x = 10,429.03

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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.