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Finding the Fourth Proportional to 14,762.20, 20,347.86 and 12,843.14

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Solution

The fourth proportional to 14,762.20, 20,347.86 and 12,843.14 is: 17,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.20 : 20,347.86 = 12,843.14 : x
  2. Step 2: Convert to fraction form
    14,762.20/20,347.86 = 12,843.14/x
  3. Step 3: Cross multiply
    14,762.20x = 20,347.86 × 12,843.14
  4. Step 4: Simplify right side
    14,762.20x = 261,330,414.68
  5. Step 5: Solve for x
    x = 261,330,414.68/14,762.20
  6. Step 6: Final answer
    x = 17,702.67

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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.