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Finding the Fourth Proportional to 16,883.83, 23,299 and 9,809.70

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Solution

The fourth proportional to 16,883.83, 23,299 and 9,809.70 is: 13,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,883.83 : 23,299 = 9,809.70 : x
  2. Step 2: Convert to fraction form
    16,883.83/23,299 = 9,809.70/x
  3. Step 3: Cross multiply
    16,883.83x = 23,299 × 9,809.70
  4. Step 4: Simplify right side
    16,883.83x = 228,556,200.30
  5. Step 5: Solve for x
    x = 228,556,200.30/16,883.83
  6. Step 6: Final answer
    x = 13,536.99

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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.