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Finding the Fourth Proportional to 15,207.42, 22,811.16 and 4,819.14

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Solution

The fourth proportional to 15,207.42, 22,811.16 and 4,819.14 is: 7,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.42 : 22,811.16 = 4,819.14 : x
  2. Step 2: Convert to fraction form
    15,207.42/22,811.16 = 4,819.14/x
  3. Step 3: Cross multiply
    15,207.42x = 22,811.16 × 4,819.14
  4. Step 4: Simplify right side
    15,207.42x = 109,930,173.60
  5. Step 5: Solve for x
    x = 109,930,173.60/15,207.42
  6. Step 6: Final answer
    x = 7,228.72

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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.