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Finding the Fourth Proportional to 18,678, 25,731.80 and 13,002.96

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Solution

The fourth proportional to 18,678, 25,731.80 and 13,002.96 is: 17,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678 : 25,731.80 = 13,002.96 : x
  2. Step 2: Convert to fraction form
    18,678/25,731.80 = 13,002.96/x
  3. Step 3: Cross multiply
    18,678x = 25,731.80 × 13,002.96
  4. Step 4: Simplify right side
    18,678x = 334,589,566.13
  5. Step 5: Solve for x
    x = 334,589,566.13/18,678
  6. Step 6: Final answer
    x = 17,913.56

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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.