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Finding the Fourth Proportional to 22,469.63, 31,004.19 and 14,410.34

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Solution

The fourth proportional to 22,469.63, 31,004.19 and 14,410.34 is: 19,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.63 : 31,004.19 = 14,410.34 : x
  2. Step 2: Convert to fraction form
    22,469.63/31,004.19 = 14,410.34/x
  3. Step 3: Cross multiply
    22,469.63x = 31,004.19 × 14,410.34
  4. Step 4: Simplify right side
    22,469.63x = 446,780,919.32
  5. Step 5: Solve for x
    x = 446,780,919.32/22,469.63
  6. Step 6: Final answer
    x = 19,883.77

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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.