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Finding the Fourth Proportional to 16,410, 22,645.80 and 8,958

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Solution

The fourth proportional to 16,410, 22,645.80 and 8,958 is: 12,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410 : 22,645.80 = 8,958 : x
  2. Step 2: Convert to fraction form
    16,410/22,645.80 = 8,958/x
  3. Step 3: Cross multiply
    16,410x = 22,645.80 × 8,958
  4. Step 4: Simplify right side
    16,410x = 202,861,076.40
  5. Step 5: Solve for x
    x = 202,861,076.40/16,410
  6. Step 6: Final answer
    x = 12,362.04

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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.