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Finding the Fourth Proportional to 13,764.86, 18,995.39 and 7,477.23

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Solution

The fourth proportional to 13,764.86, 18,995.39 and 7,477.23 is: 10,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.86 : 18,995.39 = 7,477.23 : x
  2. Step 2: Convert to fraction form
    13,764.86/18,995.39 = 7,477.23/x
  3. Step 3: Cross multiply
    13,764.86x = 18,995.39 × 7,477.23
  4. Step 4: Simplify right side
    13,764.86x = 142,032,899.97
  5. Step 5: Solve for x
    x = 142,032,899.97/13,764.86
  6. Step 6: Final answer
    x = 10,318.51

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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.