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Finding the Fourth Proportional to 16,893.03, 23,313.84 and 9,819

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Solution

The fourth proportional to 16,893.03, 23,313.84 and 9,819 is: 13,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893.03 : 23,313.84 = 9,819 : x
  2. Step 2: Convert to fraction form
    16,893.03/23,313.84 = 9,819/x
  3. Step 3: Cross multiply
    16,893.03x = 23,313.84 × 9,819
  4. Step 4: Simplify right side
    16,893.03x = 228,918,594.96
  5. Step 5: Solve for x
    x = 228,918,594.96/16,893.03
  6. Step 6: Final answer
    x = 13,551.07

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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.