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Finding the Fourth Proportional to 16,817.83, 23,208.12 and 9,648.95

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Solution

The fourth proportional to 16,817.83, 23,208.12 and 9,648.95 is: 13,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.83 : 23,208.12 = 9,648.95 : x
  2. Step 2: Convert to fraction form
    16,817.83/23,208.12 = 9,648.95/x
  3. Step 3: Cross multiply
    16,817.83x = 23,208.12 × 9,648.95
  4. Step 4: Simplify right side
    16,817.83x = 223,933,873.43
  5. Step 5: Solve for x
    x = 223,933,873.43/16,817.83
  6. Step 6: Final answer
    x = 13,315.27

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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.