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Finding the Fourth Proportional to 13,998.12, 19,315.34 and 7,947.42

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Solution

The fourth proportional to 13,998.12, 19,315.34 and 7,947.42 is: 10,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.12 : 19,315.34 = 7,947.42 : x
  2. Step 2: Convert to fraction form
    13,998.12/19,315.34 = 7,947.42/x
  3. Step 3: Cross multiply
    13,998.12x = 19,315.34 × 7,947.42
  4. Step 4: Simplify right side
    13,998.12x = 153,507,119.42
  5. Step 5: Solve for x
    x = 153,507,119.42/13,998.12
  6. Step 6: Final answer
    x = 10,966.27

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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.