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Finding the Fourth Proportional to 13,435.42, 18,540.72 and 7,466.86

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Solution

The fourth proportional to 13,435.42, 18,540.72 and 7,466.86 is: 10,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.42 : 18,540.72 = 7,466.86 : x
  2. Step 2: Convert to fraction form
    13,435.42/18,540.72 = 7,466.86/x
  3. Step 3: Cross multiply
    13,435.42x = 18,540.72 × 7,466.86
  4. Step 4: Simplify right side
    13,435.42x = 138,440,960.54
  5. Step 5: Solve for x
    x = 138,440,960.54/13,435.42
  6. Step 6: Final answer
    x = 10,304.18

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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.