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Finding the Fourth Proportional to 12,835.80, 19,253.70 and 5,910.30

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Solution

The fourth proportional to 12,835.80, 19,253.70 and 5,910.30 is: 8,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.80 : 19,253.70 = 5,910.30 : x
  2. Step 2: Convert to fraction form
    12,835.80/19,253.70 = 5,910.30/x
  3. Step 3: Cross multiply
    12,835.80x = 19,253.70 × 5,910.30
  4. Step 4: Simplify right side
    12,835.80x = 113,795,143.11
  5. Step 5: Solve for x
    x = 113,795,143.11/12,835.80
  6. Step 6: Final answer
    x = 8,865.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.