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Finding the Fourth Proportional to 13,911.38, 19,200.38 and 10,880.48

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Solution

The fourth proportional to 13,911.38, 19,200.38 and 10,880.48 is: 15,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.38 : 19,200.38 = 10,880.48 : x
  2. Step 2: Convert to fraction form
    13,911.38/19,200.38 = 10,880.48/x
  3. Step 3: Cross multiply
    13,911.38x = 19,200.38 × 10,880.48
  4. Step 4: Simplify right side
    13,911.38x = 208,909,350.58
  5. Step 5: Solve for x
    x = 208,909,350.58/13,911.38
  6. Step 6: Final answer
    x = 15,017.16

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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.