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Finding the Fourth Proportional to 12,604.00, 18,893.48 and 6,022.50

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Solution

The fourth proportional to 12,604.00, 18,893.48 and 6,022.50 is: 9,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.00 : 18,893.48 = 6,022.50 : x
  2. Step 2: Convert to fraction form
    12,604.00/18,893.48 = 6,022.50/x
  3. Step 3: Cross multiply
    12,604.00x = 18,893.48 × 6,022.50
  4. Step 4: Simplify right side
    12,604.00x = 113,785,953.19
  5. Step 5: Solve for x
    x = 113,785,953.19/12,604.00
  6. Step 6: Final answer
    x = 9,027.77

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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.