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Finding the Fourth Proportional to 12,921.03, 17,832.38 and 7,256.30

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Solution

The fourth proportional to 12,921.03, 17,832.38 and 7,256.30 is: 10,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.03 : 17,832.38 = 7,256.30 : x
  2. Step 2: Convert to fraction form
    12,921.03/17,832.38 = 7,256.30/x
  3. Step 3: Cross multiply
    12,921.03x = 17,832.38 × 7,256.30
  4. Step 4: Simplify right side
    12,921.03x = 129,396,973.55
  5. Step 5: Solve for x
    x = 129,396,973.55/12,921.03
  6. Step 6: Final answer
    x = 10,014.45

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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.