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Finding the Fourth Proportional to 12,840.96, 19,257.12 and 4,520.64

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Solution

The fourth proportional to 12,840.96, 19,257.12 and 4,520.64 is: 6,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.96 : 19,257.12 = 4,520.64 : x
  2. Step 2: Convert to fraction form
    12,840.96/19,257.12 = 4,520.64/x
  3. Step 3: Cross multiply
    12,840.96x = 19,257.12 × 4,520.64
  4. Step 4: Simplify right side
    12,840.96x = 87,054,506.96
  5. Step 5: Solve for x
    x = 87,054,506.96/12,840.96
  6. Step 6: Final answer
    x = 6,779.44

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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.