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Finding the Fourth Proportional to 14,635.80, 21,986.10 and 10,261.80

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Solution

The fourth proportional to 14,635.80, 21,986.10 and 10,261.80 is: 15,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.80 : 21,986.10 = 10,261.80 : x
  2. Step 2: Convert to fraction form
    14,635.80/21,986.10 = 10,261.80/x
  3. Step 3: Cross multiply
    14,635.80x = 21,986.10 × 10,261.80
  4. Step 4: Simplify right side
    14,635.80x = 225,616,960.98
  5. Step 5: Solve for x
    x = 225,616,960.98/14,635.80
  6. Step 6: Final answer
    x = 15,415.42

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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.