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Finding the Fourth Proportional to 12,494.64, 18,732.72 and 5,913.12

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Solution

The fourth proportional to 12,494.64, 18,732.72 and 5,913.12 is: 8,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.64 : 18,732.72 = 5,913.12 : x
  2. Step 2: Convert to fraction form
    12,494.64/18,732.72 = 5,913.12/x
  3. Step 3: Cross multiply
    12,494.64x = 18,732.72 × 5,913.12
  4. Step 4: Simplify right side
    12,494.64x = 110,768,821.29
  5. Step 5: Solve for x
    x = 110,768,821.29/12,494.64
  6. Step 6: Final answer
    x = 8,865.31

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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.