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Finding the Fourth Proportional to 13,126.31, 19,667.19 and 7,921.25

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Solution

The fourth proportional to 13,126.31, 19,667.19 and 7,921.25 is: 11,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.31 : 19,667.19 = 7,921.25 : x
  2. Step 2: Convert to fraction form
    13,126.31/19,667.19 = 7,921.25/x
  3. Step 3: Cross multiply
    13,126.31x = 19,667.19 × 7,921.25
  4. Step 4: Simplify right side
    13,126.31x = 155,788,728.79
  5. Step 5: Solve for x
    x = 155,788,728.79/13,126.31
  6. Step 6: Final answer
    x = 11,868.43

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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.