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Finding the Fourth Proportional to 13,628.52, 20,425.68 and 5,828.16

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Solution

The fourth proportional to 13,628.52, 20,425.68 and 5,828.16 is: 8,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.52 : 20,425.68 = 5,828.16 : x
  2. Step 2: Convert to fraction form
    13,628.52/20,425.68 = 5,828.16/x
  3. Step 3: Cross multiply
    13,628.52x = 20,425.68 × 5,828.16
  4. Step 4: Simplify right side
    13,628.52x = 119,044,131.15
  5. Step 5: Solve for x
    x = 119,044,131.15/13,628.52
  6. Step 6: Final answer
    x = 8,734.93

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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.