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Finding the Fourth Proportional to 13,764.94, 18,995.72 and 7,477.31

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Solution

The fourth proportional to 13,764.94, 18,995.72 and 7,477.31 is: 10,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.94 : 18,995.72 = 7,477.31 : x
  2. Step 2: Convert to fraction form
    13,764.94/18,995.72 = 7,477.31/x
  3. Step 3: Cross multiply
    13,764.94x = 18,995.72 × 7,477.31
  4. Step 4: Simplify right side
    13,764.94x = 142,036,897.22
  5. Step 5: Solve for x
    x = 142,036,897.22/13,764.94
  6. Step 6: Final answer
    x = 10,318.75

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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.