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Finding the Fourth Proportional to 13,003.38, 19,504.98 and 5,212.08

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Solution

The fourth proportional to 13,003.38, 19,504.98 and 5,212.08 is: 7,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.38 : 19,504.98 = 5,212.08 : x
  2. Step 2: Convert to fraction form
    13,003.38/19,504.98 = 5,212.08/x
  3. Step 3: Cross multiply
    13,003.38x = 19,504.98 × 5,212.08
  4. Step 4: Simplify right side
    13,003.38x = 101,661,516.16
  5. Step 5: Solve for x
    x = 101,661,516.16/13,003.38
  6. Step 6: Final answer
    x = 7,818.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.