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Finding the Fourth Proportional to 12,424.96, 17,146.38 and 7,119.64

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Solution

The fourth proportional to 12,424.96, 17,146.38 and 7,119.64 is: 9,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.96 : 17,146.38 = 7,119.64 : x
  2. Step 2: Convert to fraction form
    12,424.96/17,146.38 = 7,119.64/x
  3. Step 3: Cross multiply
    12,424.96x = 17,146.38 × 7,119.64
  4. Step 4: Simplify right side
    12,424.96x = 122,076,052.90
  5. Step 5: Solve for x
    x = 122,076,052.90/12,424.96
  6. Step 6: Final answer
    x = 9,825.07

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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.