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Finding the Fourth Proportional to 14,251.50, 19,665.78 and 8,283.12

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Solution

The fourth proportional to 14,251.50, 19,665.78 and 8,283.12 is: 11,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.50 : 19,665.78 = 8,283.12 : x
  2. Step 2: Convert to fraction form
    14,251.50/19,665.78 = 8,283.12/x
  3. Step 3: Cross multiply
    14,251.50x = 19,665.78 × 8,283.12
  4. Step 4: Simplify right side
    14,251.50x = 162,894,015.63
  5. Step 5: Solve for x
    x = 162,894,015.63/14,251.50
  6. Step 6: Final answer
    x = 11,429.96

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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.