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Finding the Fourth Proportional to 13,536.81, 18,682.51 and 7,568.83

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Solution

The fourth proportional to 13,536.81, 18,682.51 and 7,568.83 is: 10,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.81 : 18,682.51 = 7,568.83 : x
  2. Step 2: Convert to fraction form
    13,536.81/18,682.51 = 7,568.83/x
  3. Step 3: Cross multiply
    13,536.81x = 18,682.51 × 7,568.83
  4. Step 4: Simplify right side
    13,536.81x = 141,404,742.16
  5. Step 5: Solve for x
    x = 141,404,742.16/13,536.81
  6. Step 6: Final answer
    x = 10,445.94

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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.