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Finding the Fourth Proportional to 12,861.41, 19,295.77 and 4,097.00

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Solution

The fourth proportional to 12,861.41, 19,295.77 and 4,097.00 is: 6,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.41 : 19,295.77 = 4,097.00 : x
  2. Step 2: Convert to fraction form
    12,861.41/19,295.77 = 4,097.00/x
  3. Step 3: Cross multiply
    12,861.41x = 19,295.77 × 4,097.00
  4. Step 4: Simplify right side
    12,861.41x = 79,054,823.05
  5. Step 5: Solve for x
    x = 79,054,823.05/12,861.41
  6. Step 6: Final answer
    x = 6,146.67

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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.