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Finding the Fourth Proportional to 16,414.50, 22,652.04 and 8,962.50

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Solution

The fourth proportional to 16,414.50, 22,652.04 and 8,962.50 is: 12,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.50 : 22,652.04 = 8,962.50 : x
  2. Step 2: Convert to fraction form
    16,414.50/22,652.04 = 8,962.50/x
  3. Step 3: Cross multiply
    16,414.50x = 22,652.04 × 8,962.50
  4. Step 4: Simplify right side
    16,414.50x = 203,018,908.50
  5. Step 5: Solve for x
    x = 203,018,908.50/16,414.50
  6. Step 6: Final answer
    x = 12,368.27

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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.