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Finding the Fourth Proportional to 12,888.40, 19,338.80 and 6,311

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Solution

The fourth proportional to 12,888.40, 19,338.80 and 6,311 is: 9,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.40 : 19,338.80 = 6,311 : x
  2. Step 2: Convert to fraction form
    12,888.40/19,338.80 = 6,311/x
  3. Step 3: Cross multiply
    12,888.40x = 19,338.80 × 6,311
  4. Step 4: Simplify right side
    12,888.40x = 122,047,166.80
  5. Step 5: Solve for x
    x = 122,047,166.80/12,888.40
  6. Step 6: Final answer
    x = 9,469.54

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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.