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Finding the Fourth Proportional to 12,865.89, 19,298.85 and 5,074.50

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Solution

The fourth proportional to 12,865.89, 19,298.85 and 5,074.50 is: 7,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.89 : 19,298.85 = 5,074.50 : x
  2. Step 2: Convert to fraction form
    12,865.89/19,298.85 = 5,074.50/x
  3. Step 3: Cross multiply
    12,865.89x = 19,298.85 × 5,074.50
  4. Step 4: Simplify right side
    12,865.89x = 97,932,014.33
  5. Step 5: Solve for x
    x = 97,932,014.33/12,865.89
  6. Step 6: Final answer
    x = 7,611.76

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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.