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Finding the Fourth Proportional to 20,271.84, 30,416 and 9,170.72

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Solution

The fourth proportional to 20,271.84, 30,416 and 9,170.72 is: 13,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.84 : 30,416 = 9,170.72 : x
  2. Step 2: Convert to fraction form
    20,271.84/30,416 = 9,170.72/x
  3. Step 3: Cross multiply
    20,271.84x = 30,416 × 9,170.72
  4. Step 4: Simplify right side
    20,271.84x = 278,936,619.52
  5. Step 5: Solve for x
    x = 278,936,619.52/20,271.84
  6. Step 6: Final answer
    x = 13,759.81

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