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Finding the Fourth Proportional to 12,505.96, 17,258.34 and 7,202.44

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Solution

The fourth proportional to 12,505.96, 17,258.34 and 7,202.44 is: 9,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.96 : 17,258.34 = 7,202.44 : x
  2. Step 2: Convert to fraction form
    12,505.96/17,258.34 = 7,202.44/x
  3. Step 3: Cross multiply
    12,505.96x = 17,258.34 × 7,202.44
  4. Step 4: Simplify right side
    12,505.96x = 124,302,158.35
  5. Step 5: Solve for x
    x = 124,302,158.35/12,505.96
  6. Step 6: Final answer
    x = 9,939.43

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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.