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Finding the Fourth Proportional to 13,625.52, 18,802.92 and 7,575.36

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Solution

The fourth proportional to 13,625.52, 18,802.92 and 7,575.36 is: 10,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.52 : 18,802.92 = 7,575.36 : x
  2. Step 2: Convert to fraction form
    13,625.52/18,802.92 = 7,575.36/x
  3. Step 3: Cross multiply
    13,625.52x = 18,802.92 × 7,575.36
  4. Step 4: Simplify right side
    13,625.52x = 142,438,888.05
  5. Step 5: Solve for x
    x = 142,438,888.05/13,625.52
  6. Step 6: Final answer
    x = 10,453.83

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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.