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Finding the Fourth Proportional to 24,435.28, 33,719.70 and 13,827.12

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Solution

The fourth proportional to 24,435.28, 33,719.70 and 13,827.12 is: 19,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.28 : 33,719.70 = 13,827.12 : x
  2. Step 2: Convert to fraction form
    24,435.28/33,719.70 = 13,827.12/x
  3. Step 3: Cross multiply
    24,435.28x = 33,719.70 × 13,827.12
  4. Step 4: Simplify right side
    24,435.28x = 466,246,338.26
  5. Step 5: Solve for x
    x = 466,246,338.26/24,435.28
  6. Step 6: Final answer
    x = 19,080.87

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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.