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Finding the Fourth Proportional to 13,253.68, 18,290.82 and 7,664.68

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Solution

The fourth proportional to 13,253.68, 18,290.82 and 7,664.68 is: 10,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.68 : 18,290.82 = 7,664.68 : x
  2. Step 2: Convert to fraction form
    13,253.68/18,290.82 = 7,664.68/x
  3. Step 3: Cross multiply
    13,253.68x = 18,290.82 × 7,664.68
  4. Step 4: Simplify right side
    13,253.68x = 140,193,282.24
  5. Step 5: Solve for x
    x = 140,193,282.24/13,253.68
  6. Step 6: Final answer
    x = 10,577.69

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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.