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Finding the Fourth Proportional to 13,007.70, 19,489.95 and 11,150.10

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Solution

The fourth proportional to 13,007.70, 19,489.95 and 11,150.10 is: 16,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.70 : 19,489.95 = 11,150.10 : x
  2. Step 2: Convert to fraction form
    13,007.70/19,489.95 = 11,150.10/x
  3. Step 3: Cross multiply
    13,007.70x = 19,489.95 × 11,150.10
  4. Step 4: Simplify right side
    13,007.70x = 217,314,891.50
  5. Step 5: Solve for x
    x = 217,314,891.50/13,007.70
  6. Step 6: Final answer
    x = 16,706.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.