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Finding the Fourth Proportional to 12,645.62, 18,970.87 and 4,853.82

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Solution

The fourth proportional to 12,645.62, 18,970.87 and 4,853.82 is: 7,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.62 : 18,970.87 = 4,853.82 : x
  2. Step 2: Convert to fraction form
    12,645.62/18,970.87 = 4,853.82/x
  3. Step 3: Cross multiply
    12,645.62x = 18,970.87 × 4,853.82
  4. Step 4: Simplify right side
    12,645.62x = 92,081,188.22
  5. Step 5: Solve for x
    x = 92,081,188.22/12,645.62
  6. Step 6: Final answer
    x = 7,281.67

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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.