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Finding the Fourth Proportional to 13,938.54, 19,235.16 and 7,650.96

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Solution

The fourth proportional to 13,938.54, 19,235.16 and 7,650.96 is: 10,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.54 : 19,235.16 = 7,650.96 : x
  2. Step 2: Convert to fraction form
    13,938.54/19,235.16 = 7,650.96/x
  3. Step 3: Cross multiply
    13,938.54x = 19,235.16 × 7,650.96
  4. Step 4: Simplify right side
    13,938.54x = 147,167,439.75
  5. Step 5: Solve for x
    x = 147,167,439.75/13,938.54
  6. Step 6: Final answer
    x = 10,558.31

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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.