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Finding the Fourth Proportional to 12,577.57, 18,865.27 and 4,257.41

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Solution

The fourth proportional to 12,577.57, 18,865.27 and 4,257.41 is: 6,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.57 : 18,865.27 = 4,257.41 : x
  2. Step 2: Convert to fraction form
    12,577.57/18,865.27 = 4,257.41/x
  3. Step 3: Cross multiply
    12,577.57x = 18,865.27 × 4,257.41
  4. Step 4: Simplify right side
    12,577.57x = 80,317,094.82
  5. Step 5: Solve for x
    x = 80,317,094.82/12,577.57
  6. Step 6: Final answer
    x = 6,385.74

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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.