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Finding the Fourth Proportional to 13,496.64, 20,257.92 and 6,576

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Solution

The fourth proportional to 13,496.64, 20,257.92 and 6,576 is: 9,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.64 : 20,257.92 = 6,576 : x
  2. Step 2: Convert to fraction form
    13,496.64/20,257.92 = 6,576/x
  3. Step 3: Cross multiply
    13,496.64x = 20,257.92 × 6,576
  4. Step 4: Simplify right side
    13,496.64x = 133,216,081.92
  5. Step 5: Solve for x
    x = 133,216,081.92/13,496.64
  6. Step 6: Final answer
    x = 9,870.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.