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Finding the Fourth Proportional to 12,629.36, 17,432.34 and 7,325.48

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Solution

The fourth proportional to 12,629.36, 17,432.34 and 7,325.48 is: 10,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.36 : 17,432.34 = 7,325.48 : x
  2. Step 2: Convert to fraction form
    12,629.36/17,432.34 = 7,325.48/x
  3. Step 3: Cross multiply
    12,629.36x = 17,432.34 × 7,325.48
  4. Step 4: Simplify right side
    12,629.36x = 127,700,258.02
  5. Step 5: Solve for x
    x = 127,700,258.02/12,629.36
  6. Step 6: Final answer
    x = 10,111.38

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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.