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Finding the Fourth Proportional to 14,097.33, 19,454.63 and 7,724.04

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Solution

The fourth proportional to 14,097.33, 19,454.63 and 7,724.04 is: 10,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.33 : 19,454.63 = 7,724.04 : x
  2. Step 2: Convert to fraction form
    14,097.33/19,454.63 = 7,724.04/x
  3. Step 3: Cross multiply
    14,097.33x = 19,454.63 × 7,724.04
  4. Step 4: Simplify right side
    14,097.33x = 150,268,301.69
  5. Step 5: Solve for x
    x = 150,268,301.69/14,097.33
  6. Step 6: Final answer
    x = 10,659.34

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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.