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Finding the Fourth Proportional to 16,302.50, 22,497.72 and 8,850.50

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Solution

The fourth proportional to 16,302.50, 22,497.72 and 8,850.50 is: 12,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.50 : 22,497.72 = 8,850.50 : x
  2. Step 2: Convert to fraction form
    16,302.50/22,497.72 = 8,850.50/x
  3. Step 3: Cross multiply
    16,302.50x = 22,497.72 × 8,850.50
  4. Step 4: Simplify right side
    16,302.50x = 199,116,070.86
  5. Step 5: Solve for x
    x = 199,116,070.86/16,302.50
  6. Step 6: Final answer
    x = 12,213.84

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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.