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Finding the Fourth Proportional to 12,584.70, 18,877.05 and 6,023.70

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Solution

The fourth proportional to 12,584.70, 18,877.05 and 6,023.70 is: 9,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.70 : 18,877.05 = 6,023.70 : x
  2. Step 2: Convert to fraction form
    12,584.70/18,877.05 = 6,023.70/x
  3. Step 3: Cross multiply
    12,584.70x = 18,877.05 × 6,023.70
  4. Step 4: Simplify right side
    12,584.70x = 113,709,686.09
  5. Step 5: Solve for x
    x = 113,709,686.09/12,584.70
  6. Step 6: Final answer
    x = 9,035.55

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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.