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Finding the Fourth Proportional to 13,149.60, 19,714.68 and 6,216

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Solution

The fourth proportional to 13,149.60, 19,714.68 and 6,216 is: 9,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.60 : 19,714.68 = 6,216 : x
  2. Step 2: Convert to fraction form
    13,149.60/19,714.68 = 6,216/x
  3. Step 3: Cross multiply
    13,149.60x = 19,714.68 × 6,216
  4. Step 4: Simplify right side
    13,149.60x = 122,546,450.88
  5. Step 5: Solve for x
    x = 122,546,450.88/13,149.60
  6. Step 6: Final answer
    x = 9,319.41

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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.