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Finding the Fourth Proportional to 22,438.36, 30,960.39 and 14,050

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Solution

The fourth proportional to 22,438.36, 30,960.39 and 14,050 is: 19,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.36 : 30,960.39 = 14,050 : x
  2. Step 2: Convert to fraction form
    22,438.36/30,960.39 = 14,050/x
  3. Step 3: Cross multiply
    22,438.36x = 30,960.39 × 14,050
  4. Step 4: Simplify right side
    22,438.36x = 434,993,479.50
  5. Step 5: Solve for x
    x = 434,993,479.50/22,438.36
  6. Step 6: Final answer
    x = 19,386.15

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