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Finding the Fourth Proportional to 13,022.52, 19,525.68 and 6,789.57

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Solution

The fourth proportional to 13,022.52, 19,525.68 and 6,789.57 is: 10,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.52 : 19,525.68 = 6,789.57 : x
  2. Step 2: Convert to fraction form
    13,022.52/19,525.68 = 6,789.57/x
  3. Step 3: Cross multiply
    13,022.52x = 19,525.68 × 6,789.57
  4. Step 4: Simplify right side
    13,022.52x = 132,570,971.16
  5. Step 5: Solve for x
    x = 132,570,971.16/13,022.52
  6. Step 6: Final answer
    x = 10,180.13

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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.