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Finding the Fourth Proportional to 13,106.34, 19,661.24 and 4,219

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Solution

The fourth proportional to 13,106.34, 19,661.24 and 4,219 is: 6,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.34 : 19,661.24 = 4,219 : x
  2. Step 2: Convert to fraction form
    13,106.34/19,661.24 = 4,219/x
  3. Step 3: Cross multiply
    13,106.34x = 19,661.24 × 4,219
  4. Step 4: Simplify right side
    13,106.34x = 82,950,771.56
  5. Step 5: Solve for x
    x = 82,950,771.56/13,106.34
  6. Step 6: Final answer
    x = 6,329.06

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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.