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Finding the Fourth Proportional to 16,500.16, 22,770.39 and 8,946.51

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Solution

The fourth proportional to 16,500.16, 22,770.39 and 8,946.51 is: 12,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.16 : 22,770.39 = 8,946.51 : x
  2. Step 2: Convert to fraction form
    16,500.16/22,770.39 = 8,946.51/x
  3. Step 3: Cross multiply
    16,500.16x = 22,770.39 × 8,946.51
  4. Step 4: Simplify right side
    16,500.16x = 203,715,521.84
  5. Step 5: Solve for x
    x = 203,715,521.84/16,500.16
  6. Step 6: Final answer
    x = 12,346.28

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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.