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Finding the Fourth Proportional to 13,765.06, 18,995.79 and 7,477.48

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Solution

The fourth proportional to 13,765.06, 18,995.79 and 7,477.48 is: 10,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.06 : 18,995.79 = 7,477.48 : x
  2. Step 2: Convert to fraction form
    13,765.06/18,995.79 = 7,477.48/x
  3. Step 3: Cross multiply
    13,765.06x = 18,995.79 × 7,477.48
  4. Step 4: Simplify right side
    13,765.06x = 142,040,639.81
  5. Step 5: Solve for x
    x = 142,040,639.81/13,765.06
  6. Step 6: Final answer
    x = 10,318.93

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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.