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Finding the Fourth Proportional to 16,670, 23,004.60 and 9,218

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Solution

The fourth proportional to 16,670, 23,004.60 and 9,218 is: 12,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,670 : 23,004.60 = 9,218 : x
  2. Step 2: Convert to fraction form
    16,670/23,004.60 = 9,218/x
  3. Step 3: Cross multiply
    16,670x = 23,004.60 × 9,218
  4. Step 4: Simplify right side
    16,670x = 212,056,402.80
  5. Step 5: Solve for x
    x = 212,056,402.80/16,670
  6. Step 6: Final answer
    x = 12,720.84

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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.