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Finding the Fourth Proportional to 14,518.16, 21,772.92 and 5,282

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Solution

The fourth proportional to 14,518.16, 21,772.92 and 5,282 is: 7,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.16 : 21,772.92 = 5,282 : x
  2. Step 2: Convert to fraction form
    14,518.16/21,772.92 = 5,282/x
  3. Step 3: Cross multiply
    14,518.16x = 21,772.92 × 5,282
  4. Step 4: Simplify right side
    14,518.16x = 115,004,563.44
  5. Step 5: Solve for x
    x = 115,004,563.44/14,518.16
  6. Step 6: Final answer
    x = 7,921.43

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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.