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Finding the Fourth Proportional to 16,012.35, 24,022.59 and 6,152.34

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Solution

The fourth proportional to 16,012.35, 24,022.59 and 6,152.34 is: 9,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.35 : 24,022.59 = 6,152.34 : x
  2. Step 2: Convert to fraction form
    16,012.35/24,022.59 = 6,152.34/x
  3. Step 3: Cross multiply
    16,012.35x = 24,022.59 × 6,152.34
  4. Step 4: Simplify right side
    16,012.35x = 147,795,141.36
  5. Step 5: Solve for x
    x = 147,795,141.36/16,012.35
  6. Step 6: Final answer
    x = 9,230.07

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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.