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Finding the Fourth Proportional to 13,285.69, 19,914.86 and 5,893.63

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Solution

The fourth proportional to 13,285.69, 19,914.86 and 5,893.63 is: 8,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.69 : 19,914.86 = 5,893.63 : x
  2. Step 2: Convert to fraction form
    13,285.69/19,914.86 = 5,893.63/x
  3. Step 3: Cross multiply
    13,285.69x = 19,914.86 × 5,893.63
  4. Step 4: Simplify right side
    13,285.69x = 117,370,702.03
  5. Step 5: Solve for x
    x = 117,370,702.03/13,285.69
  6. Step 6: Final answer
    x = 8,834.37

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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.