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Finding the Fourth Proportional to 14,408.72, 21,600.08 and 7,462.16

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Solution

The fourth proportional to 14,408.72, 21,600.08 and 7,462.16 is: 11,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.72 : 21,600.08 = 7,462.16 : x
  2. Step 2: Convert to fraction form
    14,408.72/21,600.08 = 7,462.16/x
  3. Step 3: Cross multiply
    14,408.72x = 21,600.08 × 7,462.16
  4. Step 4: Simplify right side
    14,408.72x = 161,183,252.97
  5. Step 5: Solve for x
    x = 161,183,252.97/14,408.72
  6. Step 6: Final answer
    x = 11,186.51

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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.