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Finding the Fourth Proportional to 18,314.10, 27,405.45 and 15,857.34

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Solution

The fourth proportional to 18,314.10, 27,405.45 and 15,857.34 is: 23,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314.10 : 27,405.45 = 15,857.34 : x
  2. Step 2: Convert to fraction form
    18,314.10/27,405.45 = 15,857.34/x
  3. Step 3: Cross multiply
    18,314.10x = 27,405.45 × 15,857.34
  4. Step 4: Simplify right side
    18,314.10x = 434,577,538.50
  5. Step 5: Solve for x
    x = 434,577,538.50/18,314.10
  6. Step 6: Final answer
    x = 23,729.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.