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Finding the Fourth Proportional to 14,996.87, 20,695.89 and 8,282.37

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Solution

The fourth proportional to 14,996.87, 20,695.89 and 8,282.37 is: 11,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.87 : 20,695.89 = 8,282.37 : x
  2. Step 2: Convert to fraction form
    14,996.87/20,695.89 = 8,282.37/x
  3. Step 3: Cross multiply
    14,996.87x = 20,695.89 × 8,282.37
  4. Step 4: Simplify right side
    14,996.87x = 171,411,018.46
  5. Step 5: Solve for x
    x = 171,411,018.46/14,996.87
  6. Step 6: Final answer
    x = 11,429.79

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1.5x scale

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.