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Finding the Fourth Proportional to 13,634.28, 18,848.84 and 13,509.54

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Solution

The fourth proportional to 13,634.28, 18,848.84 and 13,509.54 is: 18,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.28 : 18,848.84 = 13,509.54 : x
  2. Step 2: Convert to fraction form
    13,634.28/18,848.84 = 13,509.54/x
  3. Step 3: Cross multiply
    13,634.28x = 18,848.84 × 13,509.54
  4. Step 4: Simplify right side
    13,634.28x = 254,639,157.93
  5. Step 5: Solve for x
    x = 254,639,157.93/13,634.28
  6. Step 6: Final answer
    x = 18,676.39

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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.