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Finding the Fourth Proportional to 27,855.38, 38,439 and 15,756.14

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Solution

The fourth proportional to 27,855.38, 38,439 and 15,756.14 is: 21,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.38 : 38,439 = 15,756.14 : x
  2. Step 2: Convert to fraction form
    27,855.38/38,439 = 15,756.14/x
  3. Step 3: Cross multiply
    27,855.38x = 38,439 × 15,756.14
  4. Step 4: Simplify right side
    27,855.38x = 605,650,265.46
  5. Step 5: Solve for x
    x = 605,650,265.46/27,855.38
  6. Step 6: Final answer
    x = 21,742.67

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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.