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Finding the Fourth Proportional to 16,442.70, 24,664.35 and 5,349.34

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Solution

The fourth proportional to 16,442.70, 24,664.35 and 5,349.34 is: 8,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.70 : 24,664.35 = 5,349.34 : x
  2. Step 2: Convert to fraction form
    16,442.70/24,664.35 = 5,349.34/x
  3. Step 3: Cross multiply
    16,442.70x = 24,664.35 × 5,349.34
  4. Step 4: Simplify right side
    16,442.70x = 131,938,014.83
  5. Step 5: Solve for x
    x = 131,938,014.83/16,442.70
  6. Step 6: Final answer
    x = 8,024.11

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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.