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Finding the Fourth Proportional to 16,300.50, 22,495.82 and 9,226.95

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Solution

The fourth proportional to 16,300.50, 22,495.82 and 9,226.95 is: 12,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.50 : 22,495.82 = 9,226.95 : x
  2. Step 2: Convert to fraction form
    16,300.50/22,495.82 = 9,226.95/x
  3. Step 3: Cross multiply
    16,300.50x = 22,495.82 × 9,226.95
  4. Step 4: Simplify right side
    16,300.50x = 207,567,760.21
  5. Step 5: Solve for x
    x = 207,567,760.21/16,300.50
  6. Step 6: Final answer
    x = 12,733.83

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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.