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Finding the Fourth Proportional to 13,920.81, 19,210.74 and 8,258.37

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Solution

The fourth proportional to 13,920.81, 19,210.74 and 8,258.37 is: 11,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.81 : 19,210.74 = 8,258.37 : x
  2. Step 2: Convert to fraction form
    13,920.81/19,210.74 = 8,258.37/x
  3. Step 3: Cross multiply
    13,920.81x = 19,210.74 × 8,258.37
  4. Step 4: Simplify right side
    13,920.81x = 158,649,398.89
  5. Step 5: Solve for x
    x = 158,649,398.89/13,920.81
  6. Step 6: Final answer
    x = 11,396.56

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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.