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Finding the Fourth Proportional to 16,146.50, 24,230.88 and 6,285.83

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Solution

The fourth proportional to 16,146.50, 24,230.88 and 6,285.83 is: 9,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.50 : 24,230.88 = 6,285.83 : x
  2. Step 2: Convert to fraction form
    16,146.50/24,230.88 = 6,285.83/x
  3. Step 3: Cross multiply
    16,146.50x = 24,230.88 × 6,285.83
  4. Step 4: Simplify right side
    16,146.50x = 152,311,071.28
  5. Step 5: Solve for x
    x = 152,311,071.28/16,146.50
  6. Step 6: Final answer
    x = 9,433.07

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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.