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Finding the Fourth Proportional to 13,102.70, 19,653.15 and 4,217.90

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Solution

The fourth proportional to 13,102.70, 19,653.15 and 4,217.90 is: 6,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.70 : 19,653.15 = 4,217.90 : x
  2. Step 2: Convert to fraction form
    13,102.70/19,653.15 = 4,217.90/x
  3. Step 3: Cross multiply
    13,102.70x = 19,653.15 × 4,217.90
  4. Step 4: Simplify right side
    13,102.70x = 82,895,021.39
  5. Step 5: Solve for x
    x = 82,895,021.39/13,102.70
  6. Step 6: Final answer
    x = 6,326.56

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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.