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Finding the Fourth Proportional to 12,419.13, 18,636.90 and 5,847.20

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Solution

The fourth proportional to 12,419.13, 18,636.90 and 5,847.20 is: 8,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.13 : 18,636.90 = 5,847.20 : x
  2. Step 2: Convert to fraction form
    12,419.13/18,636.90 = 5,847.20/x
  3. Step 3: Cross multiply
    12,419.13x = 18,636.90 × 5,847.20
  4. Step 4: Simplify right side
    12,419.13x = 108,973,588.50
  5. Step 5: Solve for x
    x = 108,973,588.50/12,419.13
  6. Step 6: Final answer
    x = 8,774.66

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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.