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Finding the Fourth Proportional to 14,105.68, 19,467.47 and 8,440.34

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Solution

The fourth proportional to 14,105.68, 19,467.47 and 8,440.34 is: 11,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.68 : 19,467.47 = 8,440.34 : x
  2. Step 2: Convert to fraction form
    14,105.68/19,467.47 = 8,440.34/x
  3. Step 3: Cross multiply
    14,105.68x = 19,467.47 × 8,440.34
  4. Step 4: Simplify right side
    14,105.68x = 164,311,989.50
  5. Step 5: Solve for x
    x = 164,311,989.50/14,105.68
  6. Step 6: Final answer
    x = 11,648.64

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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.