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Finding the Fourth Proportional to 13,129.70, 19,673.91 and 8,191.94

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Solution

The fourth proportional to 13,129.70, 19,673.91 and 8,191.94 is: 12,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.70 : 19,673.91 = 8,191.94 : x
  2. Step 2: Convert to fraction form
    13,129.70/19,673.91 = 8,191.94/x
  3. Step 3: Cross multiply
    13,129.70x = 19,673.91 × 8,191.94
  4. Step 4: Simplify right side
    13,129.70x = 161,167,490.29
  5. Step 5: Solve for x
    x = 161,167,490.29/13,129.70
  6. Step 6: Final answer
    x = 12,275.03

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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.