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Finding the Fourth Proportional to 22,842.45, 34,263.84 and 8,051.64

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Solution

The fourth proportional to 22,842.45, 34,263.84 and 8,051.64 is: 12,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.45 : 34,263.84 = 8,051.64 : x
  2. Step 2: Convert to fraction form
    22,842.45/34,263.84 = 8,051.64/x
  3. Step 3: Cross multiply
    22,842.45x = 34,263.84 × 8,051.64
  4. Step 4: Simplify right side
    22,842.45x = 275,880,104.70
  5. Step 5: Solve for x
    x = 275,880,104.70/22,842.45
  6. Step 6: Final answer
    x = 12,077.52

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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.