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Finding the Fourth Proportional to 16,819.80, 23,206.59 and 10,849.20

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Solution

The fourth proportional to 16,819.80, 23,206.59 and 10,849.20 is: 14,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.80 : 23,206.59 = 10,849.20 : x
  2. Step 2: Convert to fraction form
    16,819.80/23,206.59 = 10,849.20/x
  3. Step 3: Cross multiply
    16,819.80x = 23,206.59 × 10,849.20
  4. Step 4: Simplify right side
    16,819.80x = 251,772,936.23
  5. Step 5: Solve for x
    x = 251,772,936.23/16,819.80
  6. Step 6: Final answer
    x = 14,968.84

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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.