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Finding the Fourth Proportional to 16,814.63, 23,203.73 and 9,645.75

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Solution

The fourth proportional to 16,814.63, 23,203.73 and 9,645.75 is: 13,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.63 : 23,203.73 = 9,645.75 : x
  2. Step 2: Convert to fraction form
    16,814.63/23,203.73 = 9,645.75/x
  3. Step 3: Cross multiply
    16,814.63x = 23,203.73 × 9,645.75
  4. Step 4: Simplify right side
    16,814.63x = 223,817,402.76
  5. Step 5: Solve for x
    x = 223,817,402.76/16,814.63
  6. Step 6: Final answer
    x = 13,310.87

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