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Finding the Fourth Proportional to 12,212.80, 16,853.40 and 6,907.84

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Solution

The fourth proportional to 12,212.80, 16,853.40 and 6,907.84 is: 9,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.80 : 16,853.40 = 6,907.84 : x
  2. Step 2: Convert to fraction form
    12,212.80/16,853.40 = 6,907.84/x
  3. Step 3: Cross multiply
    12,212.80x = 16,853.40 × 6,907.84
  4. Step 4: Simplify right side
    12,212.80x = 116,420,590.66
  5. Step 5: Solve for x
    x = 116,420,590.66/12,212.80
  6. Step 6: Final answer
    x = 9,532.67

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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.