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Finding the Fourth Proportional to 12,611.72, 18,870.87 and 7,894.14

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Solution

The fourth proportional to 12,611.72, 18,870.87 and 7,894.14 is: 11,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.72 : 18,870.87 = 7,894.14 : x
  2. Step 2: Convert to fraction form
    12,611.72/18,870.87 = 7,894.14/x
  3. Step 3: Cross multiply
    12,611.72x = 18,870.87 × 7,894.14
  4. Step 4: Simplify right side
    12,611.72x = 148,969,360.47
  5. Step 5: Solve for x
    x = 148,969,360.47/12,611.72
  6. Step 6: Final answer
    x = 11,811.98

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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.