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Finding the Fourth Proportional to 24,274.96, 33,509.78 and 16,321.80

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Solution

The fourth proportional to 24,274.96, 33,509.78 and 16,321.80 is: 22,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.96 : 33,509.78 = 16,321.80 : x
  2. Step 2: Convert to fraction form
    24,274.96/33,509.78 = 16,321.80/x
  3. Step 3: Cross multiply
    24,274.96x = 33,509.78 × 16,321.80
  4. Step 4: Simplify right side
    24,274.96x = 546,939,927.20
  5. Step 5: Solve for x
    x = 546,939,927.20/24,274.96
  6. Step 6: Final answer
    x = 22,531.03

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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.