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Finding the Fourth Proportional to 18,414.50, 25,412.04 and 10,031

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Solution

The fourth proportional to 18,414.50, 25,412.04 and 10,031 is: 13,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.50 : 25,412.04 = 10,031 : x
  2. Step 2: Convert to fraction form
    18,414.50/25,412.04 = 10,031/x
  3. Step 3: Cross multiply
    18,414.50x = 25,412.04 × 10,031
  4. Step 4: Simplify right side
    18,414.50x = 254,908,173.24
  5. Step 5: Solve for x
    x = 254,908,173.24/18,414.50
  6. Step 6: Final answer
    x = 13,842.80

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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.