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Finding the Fourth Proportional to 29,584, 40,824.30 and 16,836.80

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Solution

The fourth proportional to 29,584, 40,824.30 and 16,836.80 is: 23,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584 : 40,824.30 = 16,836.80 : x
  2. Step 2: Convert to fraction form
    29,584/40,824.30 = 16,836.80/x
  3. Step 3: Cross multiply
    29,584x = 40,824.30 × 16,836.80
  4. Step 4: Simplify right side
    29,584x = 687,350,574.24
  5. Step 5: Solve for x
    x = 687,350,574.24/29,584
  6. Step 6: Final answer
    x = 23,233.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.