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Finding the Fourth Proportional to 13,464, 18,580.32 and 7,576

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Solution

The fourth proportional to 13,464, 18,580.32 and 7,576 is: 10,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464 : 18,580.32 = 7,576 : x
  2. Step 2: Convert to fraction form
    13,464/18,580.32 = 7,576/x
  3. Step 3: Cross multiply
    13,464x = 18,580.32 × 7,576
  4. Step 4: Simplify right side
    13,464x = 140,764,504.32
  5. Step 5: Solve for x
    x = 140,764,504.32/13,464
  6. Step 6: Final answer
    x = 10,454.88

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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.