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Finding the Fourth Proportional to 13,285.53, 19,914.62 and 5,893.47

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Solution

The fourth proportional to 13,285.53, 19,914.62 and 5,893.47 is: 8,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.53 : 19,914.62 = 5,893.47 : x
  2. Step 2: Convert to fraction form
    13,285.53/19,914.62 = 5,893.47/x
  3. Step 3: Cross multiply
    13,285.53x = 19,914.62 × 5,893.47
  4. Step 4: Simplify right side
    13,285.53x = 117,366,215.53
  5. Step 5: Solve for x
    x = 117,366,215.53/13,285.53
  6. Step 6: Final answer
    x = 8,834.14

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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.