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Finding the Fourth Proportional to 13,223.81, 19,829.88 and 6,198.15

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Solution

The fourth proportional to 13,223.81, 19,829.88 and 6,198.15 is: 9,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.81 : 19,829.88 = 6,198.15 : x
  2. Step 2: Convert to fraction form
    13,223.81/19,829.88 = 6,198.15/x
  3. Step 3: Cross multiply
    13,223.81x = 19,829.88 × 6,198.15
  4. Step 4: Simplify right side
    13,223.81x = 122,908,570.72
  5. Step 5: Solve for x
    x = 122,908,570.72/13,223.81
  6. Step 6: Final answer
    x = 9,294.49

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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.