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Finding the Fourth Proportional to 13,594.26, 20,393.32 and 6,004.00

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Solution

The fourth proportional to 13,594.26, 20,393.32 and 6,004.00 is: 9,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.26 : 20,393.32 = 6,004.00 : x
  2. Step 2: Convert to fraction form
    13,594.26/20,393.32 = 6,004.00/x
  3. Step 3: Cross multiply
    13,594.26x = 20,393.32 × 6,004.00
  4. Step 4: Simplify right side
    13,594.26x = 122,441,457.66
  5. Step 5: Solve for x
    x = 122,441,457.66/13,594.26
  6. Step 6: Final answer
    x = 9,006.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.