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Finding the Fourth Proportional to 14,576.76, 21,863.52 and 5,216.40

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Solution

The fourth proportional to 14,576.76, 21,863.52 and 5,216.40 is: 7,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.76 : 21,863.52 = 5,216.40 : x
  2. Step 2: Convert to fraction form
    14,576.76/21,863.52 = 5,216.40/x
  3. Step 3: Cross multiply
    14,576.76x = 21,863.52 × 5,216.40
  4. Step 4: Simplify right side
    14,576.76x = 114,048,865.73
  5. Step 5: Solve for x
    x = 114,048,865.73/14,576.76
  6. Step 6: Final answer
    x = 7,824.02

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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.