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Finding the Fourth Proportional to 24,256.96, 33,471.93 and 13,646.41

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Solution

The fourth proportional to 24,256.96, 33,471.93 and 13,646.41 is: 18,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256.96 : 33,471.93 = 13,646.41 : x
  2. Step 2: Convert to fraction form
    24,256.96/33,471.93 = 13,646.41/x
  3. Step 3: Cross multiply
    24,256.96x = 33,471.93 × 13,646.41
  4. Step 4: Simplify right side
    24,256.96x = 456,771,680.27
  5. Step 5: Solve for x
    x = 456,771,680.27/24,256.96
  6. Step 6: Final answer
    x = 18,830.54

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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.