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Finding the Fourth Proportional to 14,408.54, 21,622.53 and 5,642.36

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Solution

The fourth proportional to 14,408.54, 21,622.53 and 5,642.36 is: 8,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.54 : 21,622.53 = 5,642.36 : x
  2. Step 2: Convert to fraction form
    14,408.54/21,622.53 = 5,642.36/x
  3. Step 3: Cross multiply
    14,408.54x = 21,622.53 × 5,642.36
  4. Step 4: Simplify right side
    14,408.54x = 122,001,962.05
  5. Step 5: Solve for x
    x = 122,001,962.05/14,408.54
  6. Step 6: Final answer
    x = 8,467.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.