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Finding the Fourth Proportional to 13,947.84, 19,248.03 and 7,574.31

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Solution

The fourth proportional to 13,947.84, 19,248.03 and 7,574.31 is: 10,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.84 : 19,248.03 = 7,574.31 : x
  2. Step 2: Convert to fraction form
    13,947.84/19,248.03 = 7,574.31/x
  3. Step 3: Cross multiply
    13,947.84x = 19,248.03 × 7,574.31
  4. Step 4: Simplify right side
    13,947.84x = 145,790,546.11
  5. Step 5: Solve for x
    x = 145,790,546.11/13,947.84
  6. Step 6: Final answer
    x = 10,452.55

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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.