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Finding the Fourth Proportional to 19,760.16, 27,242.34 and 12,674.28

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Solution

The fourth proportional to 19,760.16, 27,242.34 and 12,674.28 is: 17,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760.16 : 27,242.34 = 12,674.28 : x
  2. Step 2: Convert to fraction form
    19,760.16/27,242.34 = 12,674.28/x
  3. Step 3: Cross multiply
    19,760.16x = 27,242.34 × 12,674.28
  4. Step 4: Simplify right side
    19,760.16x = 345,277,045.02
  5. Step 5: Solve for x
    x = 345,277,045.02/19,760.16
  6. Step 6: Final answer
    x = 17,473.39

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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.