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Finding the Fourth Proportional to 13,818.30, 19,072.98 and 7,850.22

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Solution

The fourth proportional to 13,818.30, 19,072.98 and 7,850.22 is: 10,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.30 : 19,072.98 = 7,850.22 : x
  2. Step 2: Convert to fraction form
    13,818.30/19,072.98 = 7,850.22/x
  3. Step 3: Cross multiply
    13,818.30x = 19,072.98 × 7,850.22
  4. Step 4: Simplify right side
    13,818.30x = 149,727,089.06
  5. Step 5: Solve for x
    x = 149,727,089.06/13,818.30
  6. Step 6: Final answer
    x = 10,835.42

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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.