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Finding the Fourth Proportional to 23,343.16, 32,212.86 and 12,733

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Solution

The fourth proportional to 23,343.16, 32,212.86 and 12,733 is: 17,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,343.16 : 32,212.86 = 12,733 : x
  2. Step 2: Convert to fraction form
    23,343.16/32,212.86 = 12,733/x
  3. Step 3: Cross multiply
    23,343.16x = 32,212.86 × 12,733
  4. Step 4: Simplify right side
    23,343.16x = 410,166,346.38
  5. Step 5: Solve for x
    x = 410,166,346.38/23,343.16
  6. Step 6: Final answer
    x = 17,571.16

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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.