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Finding the Fourth Proportional to 13,426.22, 18,527.33 and 7,457.91

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Solution

The fourth proportional to 13,426.22, 18,527.33 and 7,457.91 is: 10,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.22 : 18,527.33 = 7,457.91 : x
  2. Step 2: Convert to fraction form
    13,426.22/18,527.33 = 7,457.91/x
  3. Step 3: Cross multiply
    13,426.22x = 18,527.33 × 7,457.91
  4. Step 4: Simplify right side
    13,426.22x = 138,175,067.04
  5. Step 5: Solve for x
    x = 138,175,067.04/13,426.22
  6. Step 6: Final answer
    x = 10,291.43

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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.