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Finding the Fourth Proportional to 13,212, 18,232.56 and 7,623

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Solution

The fourth proportional to 13,212, 18,232.56 and 7,623 is: 10,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212 : 18,232.56 = 7,623 : x
  2. Step 2: Convert to fraction form
    13,212/18,232.56 = 7,623/x
  3. Step 3: Cross multiply
    13,212x = 18,232.56 × 7,623
  4. Step 4: Simplify right side
    13,212x = 138,986,804.88
  5. Step 5: Solve for x
    x = 138,986,804.88/13,212
  6. Step 6: Final answer
    x = 10,519.74

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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.