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Finding the Fourth Proportional to 14,105.33, 19,460.19 and 8,440.23

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Solution

The fourth proportional to 14,105.33, 19,460.19 and 8,440.23 is: 11,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.33 : 19,460.19 = 8,440.23 : x
  2. Step 2: Convert to fraction form
    14,105.33/19,460.19 = 8,440.23/x
  3. Step 3: Cross multiply
    14,105.33x = 19,460.19 × 8,440.23
  4. Step 4: Simplify right side
    14,105.33x = 164,248,479.44
  5. Step 5: Solve for x
    x = 164,248,479.44/14,105.33
  6. Step 6: Final answer
    x = 11,644.43

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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.