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Finding the Fourth Proportional to 12,543.60, 18,823.40 and 5,977.20

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Solution

The fourth proportional to 12,543.60, 18,823.40 and 5,977.20 is: 8,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.60 : 18,823.40 = 5,977.20 : x
  2. Step 2: Convert to fraction form
    12,543.60/18,823.40 = 5,977.20/x
  3. Step 3: Cross multiply
    12,543.60x = 18,823.40 × 5,977.20
  4. Step 4: Simplify right side
    12,543.60x = 112,511,226.48
  5. Step 5: Solve for x
    x = 112,511,226.48/12,543.60
  6. Step 6: Final answer
    x = 8,969.61

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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.