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Finding the Fourth Proportional to 13,806.25, 19,056.26 and 8,505.47

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Solution

The fourth proportional to 13,806.25, 19,056.26 and 8,505.47 is: 11,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.25 : 19,056.26 = 8,505.47 : x
  2. Step 2: Convert to fraction form
    13,806.25/19,056.26 = 8,505.47/x
  3. Step 3: Cross multiply
    13,806.25x = 19,056.26 × 8,505.47
  4. Step 4: Simplify right side
    13,806.25x = 162,082,516.65
  5. Step 5: Solve for x
    x = 162,082,516.65/13,806.25
  6. Step 6: Final answer
    x = 11,739.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.