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Finding the Fourth Proportional to 16,830.40, 23,206.80 and 13,796

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Solution

The fourth proportional to 16,830.40, 23,206.80 and 13,796 is: 19,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.40 : 23,206.80 = 13,796 : x
  2. Step 2: Convert to fraction form
    16,830.40/23,206.80 = 13,796/x
  3. Step 3: Cross multiply
    16,830.40x = 23,206.80 × 13,796
  4. Step 4: Simplify right side
    16,830.40x = 320,161,012.80
  5. Step 5: Solve for x
    x = 320,161,012.80/16,830.40
  6. Step 6: Final answer
    x = 19,022.78

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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.