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Finding the Fourth Proportional to 13,010.70, 19,516.10 and 3,149.96

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Solution

The fourth proportional to 13,010.70, 19,516.10 and 3,149.96 is: 4,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.70 : 19,516.10 = 3,149.96 : x
  2. Step 2: Convert to fraction form
    13,010.70/19,516.10 = 3,149.96/x
  3. Step 3: Cross multiply
    13,010.70x = 19,516.10 × 3,149.96
  4. Step 4: Simplify right side
    13,010.70x = 61,474,967.40
  5. Step 5: Solve for x
    x = 61,474,967.40/13,010.70
  6. Step 6: Final answer
    x = 4,724.95

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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.