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Finding the Fourth Proportional to 16,899.63, 23,321.69 and 9,346.58

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Solution

The fourth proportional to 16,899.63, 23,321.69 and 9,346.58 is: 12,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,899.63 : 23,321.69 = 9,346.58 : x
  2. Step 2: Convert to fraction form
    16,899.63/23,321.69 = 9,346.58/x
  3. Step 3: Cross multiply
    16,899.63x = 23,321.69 × 9,346.58
  4. Step 4: Simplify right side
    16,899.63x = 217,978,041.32
  5. Step 5: Solve for x
    x = 217,978,041.32/16,899.63
  6. Step 6: Final answer
    x = 12,898.39

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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.