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Finding the Fourth Proportional to 12,582.30, 18,873.72 and 4,576.80

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Solution

The fourth proportional to 12,582.30, 18,873.72 and 4,576.80 is: 6,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.30 : 18,873.72 = 4,576.80 : x
  2. Step 2: Convert to fraction form
    12,582.30/18,873.72 = 4,576.80/x
  3. Step 3: Cross multiply
    12,582.30x = 18,873.72 × 4,576.80
  4. Step 4: Simplify right side
    12,582.30x = 86,381,241.70
  5. Step 5: Solve for x
    x = 86,381,241.70/12,582.30
  6. Step 6: Final answer
    x = 6,865.30

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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.