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Finding the Fourth Proportional to 12,434.49, 17,161.74 and 7,958.07

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Solution

The fourth proportional to 12,434.49, 17,161.74 and 7,958.07 is: 10,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.49 : 17,161.74 = 7,958.07 : x
  2. Step 2: Convert to fraction form
    12,434.49/17,161.74 = 7,958.07/x
  3. Step 3: Cross multiply
    12,434.49x = 17,161.74 × 7,958.07
  4. Step 4: Simplify right side
    12,434.49x = 136,574,328.24
  5. Step 5: Solve for x
    x = 136,574,328.24/12,434.49
  6. Step 6: Final answer
    x = 10,983.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.