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Finding the Fourth Proportional to 15,967.80, 23,936.94 and 8,159.40

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Solution

The fourth proportional to 15,967.80, 23,936.94 and 8,159.40 is: 12,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.80 : 23,936.94 = 8,159.40 : x
  2. Step 2: Convert to fraction form
    15,967.80/23,936.94 = 8,159.40/x
  3. Step 3: Cross multiply
    15,967.80x = 23,936.94 × 8,159.40
  4. Step 4: Simplify right side
    15,967.80x = 195,311,068.24
  5. Step 5: Solve for x
    x = 195,311,068.24/15,967.80
  6. Step 6: Final answer
    x = 12,231.56

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1.5x scale

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.