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Finding the Fourth Proportional to 16,644.48, 24,971.52 and 7,408.32

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Solution

The fourth proportional to 16,644.48, 24,971.52 and 7,408.32 is: 11,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.48 : 24,971.52 = 7,408.32 : x
  2. Step 2: Convert to fraction form
    16,644.48/24,971.52 = 7,408.32/x
  3. Step 3: Cross multiply
    16,644.48x = 24,971.52 × 7,408.32
  4. Step 4: Simplify right side
    16,644.48x = 184,997,011.05
  5. Step 5: Solve for x
    x = 184,997,011.05/16,644.48
  6. Step 6: Final answer
    x = 11,114.62

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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.