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Finding the Fourth Proportional to 13,254.93, 18,293.63 and 7,669.17

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Solution

The fourth proportional to 13,254.93, 18,293.63 and 7,669.17 is: 10,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.93 : 18,293.63 = 7,669.17 : x
  2. Step 2: Convert to fraction form
    13,254.93/18,293.63 = 7,669.17/x
  3. Step 3: Cross multiply
    13,254.93x = 18,293.63 × 7,669.17
  4. Step 4: Simplify right side
    13,254.93x = 140,296,920.04
  5. Step 5: Solve for x
    x = 140,296,920.04/13,254.93
  6. Step 6: Final answer
    x = 10,584.51

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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.