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Finding the Fourth Proportional to 13,435.38, 18,541.44 and 7,466.85

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Solution

The fourth proportional to 13,435.38, 18,541.44 and 7,466.85 is: 10,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.38 : 18,541.44 = 7,466.85 : x
  2. Step 2: Convert to fraction form
    13,435.38/18,541.44 = 7,466.85/x
  3. Step 3: Cross multiply
    13,435.38x = 18,541.44 × 7,466.85
  4. Step 4: Simplify right side
    13,435.38x = 138,446,151.26
  5. Step 5: Solve for x
    x = 138,446,151.26/13,435.38
  6. Step 6: Final answer
    x = 10,304.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.