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Finding the Fourth Proportional to 18,002.56, 27,001.10 and 6,914.48

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Solution

The fourth proportional to 18,002.56, 27,001.10 and 6,914.48 is: 10,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.56 : 27,001.10 = 6,914.48 : x
  2. Step 2: Convert to fraction form
    18,002.56/27,001.10 = 6,914.48/x
  3. Step 3: Cross multiply
    18,002.56x = 27,001.10 × 6,914.48
  4. Step 4: Simplify right side
    18,002.56x = 186,698,565.93
  5. Step 5: Solve for x
    x = 186,698,565.93/18,002.56
  6. Step 6: Final answer
    x = 10,370.67

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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.