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Finding the Fourth Proportional to 23,343.69, 32,214.09 and 12,733.09

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Solution

The fourth proportional to 23,343.69, 32,214.09 and 12,733.09 is: 17,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,343.69 : 32,214.09 = 12,733.09 : x
  2. Step 2: Convert to fraction form
    23,343.69/32,214.09 = 12,733.09/x
  3. Step 3: Cross multiply
    23,343.69x = 32,214.09 × 12,733.09
  4. Step 4: Simplify right side
    23,343.69x = 410,184,907.24
  5. Step 5: Solve for x
    x = 410,184,907.24/23,343.69
  6. Step 6: Final answer
    x = 17,571.55

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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.