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Finding the Fourth Proportional to 12,584.40, 18,876.60 and 6,023.40

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Solution

The fourth proportional to 12,584.40, 18,876.60 and 6,023.40 is: 9,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.40 : 18,876.60 = 6,023.40 : x
  2. Step 2: Convert to fraction form
    12,584.40/18,876.60 = 6,023.40/x
  3. Step 3: Cross multiply
    12,584.40x = 18,876.60 × 6,023.40
  4. Step 4: Simplify right side
    12,584.40x = 113,701,312.44
  5. Step 5: Solve for x
    x = 113,701,312.44/12,584.40
  6. Step 6: Final answer
    x = 9,035.10

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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.