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Finding the Fourth Proportional to 14,450.98, 19,944.42 and 10,431.08

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Solution

The fourth proportional to 14,450.98, 19,944.42 and 10,431.08 is: 14,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450.98 : 19,944.42 = 10,431.08 : x
  2. Step 2: Convert to fraction form
    14,450.98/19,944.42 = 10,431.08/x
  3. Step 3: Cross multiply
    14,450.98x = 19,944.42 × 10,431.08
  4. Step 4: Simplify right side
    14,450.98x = 208,041,840.57
  5. Step 5: Solve for x
    x = 208,041,840.57/14,450.98
  6. Step 6: Final answer
    x = 14,396.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.