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Finding the Fourth Proportional to 13,625.30, 18,802.31 and 7,960.58

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Solution

The fourth proportional to 13,625.30, 18,802.31 and 7,960.58 is: 10,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.30 : 18,802.31 = 7,960.58 : x
  2. Step 2: Convert to fraction form
    13,625.30/18,802.31 = 7,960.58/x
  3. Step 3: Cross multiply
    13,625.30x = 18,802.31 × 7,960.58
  4. Step 4: Simplify right side
    13,625.30x = 149,677,218.83
  5. Step 5: Solve for x
    x = 149,677,218.83/13,625.30
  6. Step 6: Final answer
    x = 10,985.24

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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.