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Finding the Fourth Proportional to 16,500.09, 22,770.05 and 8,946.40

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Solution

The fourth proportional to 16,500.09, 22,770.05 and 8,946.40 is: 12,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.09 : 22,770.05 = 8,946.40 : x
  2. Step 2: Convert to fraction form
    16,500.09/22,770.05 = 8,946.40/x
  3. Step 3: Cross multiply
    16,500.09x = 22,770.05 × 8,946.40
  4. Step 4: Simplify right side
    16,500.09x = 203,709,940.76
  5. Step 5: Solve for x
    x = 203,709,940.76/16,500.09
  6. Step 6: Final answer
    x = 12,345.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.