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Finding the Fourth Proportional to 23,532.05, 32,468.65 and 13,323.22

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Solution

The fourth proportional to 23,532.05, 32,468.65 and 13,323.22 is: 18,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.05 : 32,468.65 = 13,323.22 : x
  2. Step 2: Convert to fraction form
    23,532.05/32,468.65 = 13,323.22/x
  3. Step 3: Cross multiply
    23,532.05x = 32,468.65 × 13,323.22
  4. Step 4: Simplify right side
    23,532.05x = 432,586,852.57
  5. Step 5: Solve for x
    x = 432,586,852.57/23,532.05
  6. Step 6: Final answer
    x = 18,382.88

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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.