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Finding the Fourth Proportional to 14,015.09, 19,340.13 and 7,964.54

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Solution

The fourth proportional to 14,015.09, 19,340.13 and 7,964.54 is: 10,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.09 : 19,340.13 = 7,964.54 : x
  2. Step 2: Convert to fraction form
    14,015.09/19,340.13 = 7,964.54/x
  3. Step 3: Cross multiply
    14,015.09x = 19,340.13 × 7,964.54
  4. Step 4: Simplify right side
    14,015.09x = 154,035,272.41
  5. Step 5: Solve for x
    x = 154,035,272.41/14,015.09
  6. Step 6: Final answer
    x = 10,990.67

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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.