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Finding the Fourth Proportional to 16,005.50, 24,007.34 and 4,912.16

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Solution

The fourth proportional to 16,005.50, 24,007.34 and 4,912.16 is: 7,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.50 : 24,007.34 = 4,912.16 : x
  2. Step 2: Convert to fraction form
    16,005.50/24,007.34 = 4,912.16/x
  3. Step 3: Cross multiply
    16,005.50x = 24,007.34 × 4,912.16
  4. Step 4: Simplify right side
    16,005.50x = 117,927,895.25
  5. Step 5: Solve for x
    x = 117,927,895.25/16,005.50
  6. Step 6: Final answer
    x = 7,367.96

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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.