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Finding the Fourth Proportional to 13,231.60, 18,258.93 and 7,854.26

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Solution

The fourth proportional to 13,231.60, 18,258.93 and 7,854.26 is: 10,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.60 : 18,258.93 = 7,854.26 : x
  2. Step 2: Convert to fraction form
    13,231.60/18,258.93 = 7,854.26/x
  3. Step 3: Cross multiply
    13,231.60x = 18,258.93 × 7,854.26
  4. Step 4: Simplify right side
    13,231.60x = 143,410,399.74
  5. Step 5: Solve for x
    x = 143,410,399.74/13,231.60
  6. Step 6: Final answer
    x = 10,838.48

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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.