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Finding the Fourth Proportional to 16,383.70, 24,539.10 and 8,583.40

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Solution

The fourth proportional to 16,383.70, 24,539.10 and 8,583.40 is: 12,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.70 : 24,539.10 = 8,583.40 : x
  2. Step 2: Convert to fraction form
    16,383.70/24,539.10 = 8,583.40/x
  3. Step 3: Cross multiply
    16,383.70x = 24,539.10 × 8,583.40
  4. Step 4: Simplify right side
    16,383.70x = 210,628,910.94
  5. Step 5: Solve for x
    x = 210,628,910.94/16,383.70
  6. Step 6: Final answer
    x = 12,856.00

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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.