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Finding the Fourth Proportional to 13,982.95, 19,287.68 and 9,203.14

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Solution

The fourth proportional to 13,982.95, 19,287.68 and 9,203.14 is: 12,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.95 : 19,287.68 = 9,203.14 : x
  2. Step 2: Convert to fraction form
    13,982.95/19,287.68 = 9,203.14/x
  3. Step 3: Cross multiply
    13,982.95x = 19,287.68 × 9,203.14
  4. Step 4: Simplify right side
    13,982.95x = 177,507,219.32
  5. Step 5: Solve for x
    x = 177,507,219.32/13,982.95
  6. Step 6: Final answer
    x = 12,694.55

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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.