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Finding the Fourth Proportional to 13,435.34, 18,540.78 and 7,466.84

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Solution

The fourth proportional to 13,435.34, 18,540.78 and 7,466.84 is: 10,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.34 : 18,540.78 = 7,466.84 : x
  2. Step 2: Convert to fraction form
    13,435.34/18,540.78 = 7,466.84/x
  3. Step 3: Cross multiply
    13,435.34x = 18,540.78 × 7,466.84
  4. Step 4: Simplify right side
    13,435.34x = 138,441,037.74
  5. Step 5: Solve for x
    x = 138,441,037.74/13,435.34
  6. Step 6: Final answer
    x = 10,304.25

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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.