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Finding the Fourth Proportional to 14,282.64, 21,424 and 5,048.64

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Solution

The fourth proportional to 14,282.64, 21,424 and 5,048.64 is: 7,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.64 : 21,424 = 5,048.64 : x
  2. Step 2: Convert to fraction form
    14,282.64/21,424 = 5,048.64/x
  3. Step 3: Cross multiply
    14,282.64x = 21,424 × 5,048.64
  4. Step 4: Simplify right side
    14,282.64x = 108,162,063.36
  5. Step 5: Solve for x
    x = 108,162,063.36/14,282.64
  6. Step 6: Final answer
    x = 7,572.97

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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.