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Finding the Fourth Proportional to 13,019.39, 17,953.32 and 11,137.20

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Solution

The fourth proportional to 13,019.39, 17,953.32 and 11,137.20 is: 15,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.39 : 17,953.32 = 11,137.20 : x
  2. Step 2: Convert to fraction form
    13,019.39/17,953.32 = 11,137.20/x
  3. Step 3: Cross multiply
    13,019.39x = 17,953.32 × 11,137.20
  4. Step 4: Simplify right side
    13,019.39x = 199,949,715.50
  5. Step 5: Solve for x
    x = 199,949,715.50/13,019.39
  6. Step 6: Final answer
    x = 15,357.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.