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Finding the Fourth Proportional to 13,523.90, 18,661.29 and 7,555.34

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Solution

The fourth proportional to 13,523.90, 18,661.29 and 7,555.34 is: 10,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.90 : 18,661.29 = 7,555.34 : x
  2. Step 2: Convert to fraction form
    13,523.90/18,661.29 = 7,555.34/x
  3. Step 3: Cross multiply
    13,523.90x = 18,661.29 × 7,555.34
  4. Step 4: Simplify right side
    13,523.90x = 140,992,390.79
  5. Step 5: Solve for x
    x = 140,992,390.79/13,523.90
  6. Step 6: Final answer
    x = 10,425.42

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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.