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Finding the Fourth Proportional to 16,408.72, 24,607.89 and 5,312.84

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Solution

The fourth proportional to 16,408.72, 24,607.89 and 5,312.84 is: 7,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.72 : 24,607.89 = 5,312.84 : x
  2. Step 2: Convert to fraction form
    16,408.72/24,607.89 = 5,312.84/x
  3. Step 3: Cross multiply
    16,408.72x = 24,607.89 × 5,312.84
  4. Step 4: Simplify right side
    16,408.72x = 130,737,782.31
  5. Step 5: Solve for x
    x = 130,737,782.31/16,408.72
  6. Step 6: Final answer
    x = 7,967.58

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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.