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Finding the Fourth Proportional to 24,384.80, 33,649.20 and 13,774.40

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Solution

The fourth proportional to 24,384.80, 33,649.20 and 13,774.40 is: 19,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.80 : 33,649.20 = 13,774.40 : x
  2. Step 2: Convert to fraction form
    24,384.80/33,649.20 = 13,774.40/x
  3. Step 3: Cross multiply
    24,384.80x = 33,649.20 × 13,774.40
  4. Step 4: Simplify right side
    24,384.80x = 463,497,540.48
  5. Step 5: Solve for x
    x = 463,497,540.48/24,384.80
  6. Step 6: Final answer
    x = 19,007.64

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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.