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Finding the Fourth Proportional to 13,548.18, 18,695.94 and 7,883.09

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Solution

The fourth proportional to 13,548.18, 18,695.94 and 7,883.09 is: 10,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.18 : 18,695.94 = 7,883.09 : x
  2. Step 2: Convert to fraction form
    13,548.18/18,695.94 = 7,883.09/x
  3. Step 3: Cross multiply
    13,548.18x = 18,695.94 × 7,883.09
  4. Step 4: Simplify right side
    13,548.18x = 147,381,724.72
  5. Step 5: Solve for x
    x = 147,381,724.72/13,548.18
  6. Step 6: Final answer
    x = 10,878.34

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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.