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Finding the Fourth Proportional to 18,414.12, 25,412.10 and 10,031.40

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Solution

The fourth proportional to 18,414.12, 25,412.10 and 10,031.40 is: 13,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.12 : 25,412.10 = 10,031.40 : x
  2. Step 2: Convert to fraction form
    18,414.12/25,412.10 = 10,031.40/x
  3. Step 3: Cross multiply
    18,414.12x = 25,412.10 × 10,031.40
  4. Step 4: Simplify right side
    18,414.12x = 254,918,939.94
  5. Step 5: Solve for x
    x = 254,918,939.94/18,414.12
  6. Step 6: Final answer
    x = 13,843.67

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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.