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Finding the Fourth Proportional to 24,205.54, 33,397.74 and 14,128.24

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Solution

The fourth proportional to 24,205.54, 33,397.74 and 14,128.24 is: 19,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.54 : 33,397.74 = 14,128.24 : x
  2. Step 2: Convert to fraction form
    24,205.54/33,397.74 = 14,128.24/x
  3. Step 3: Cross multiply
    24,205.54x = 33,397.74 × 14,128.24
  4. Step 4: Simplify right side
    24,205.54x = 471,851,286.18
  5. Step 5: Solve for x
    x = 471,851,286.18/24,205.54
  6. Step 6: Final answer
    x = 19,493.52

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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.