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Finding the Fourth Proportional to 16,425, 22,666.50 and 8,973

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Solution

The fourth proportional to 16,425, 22,666.50 and 8,973 is: 12,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425 : 22,666.50 = 8,973 : x
  2. Step 2: Convert to fraction form
    16,425/22,666.50 = 8,973/x
  3. Step 3: Cross multiply
    16,425x = 22,666.50 × 8,973
  4. Step 4: Simplify right side
    16,425x = 203,386,504.50
  5. Step 5: Solve for x
    x = 203,386,504.50/16,425
  6. Step 6: Final answer
    x = 12,382.74

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Why These Related Problems?

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