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Finding the Fourth Proportional to 17,877.28, 24,674.24 and 10,324.84

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Solution

The fourth proportional to 17,877.28, 24,674.24 and 10,324.84 is: 14,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.28 : 24,674.24 = 10,324.84 : x
  2. Step 2: Convert to fraction form
    17,877.28/24,674.24 = 10,324.84/x
  3. Step 3: Cross multiply
    17,877.28x = 24,674.24 × 10,324.84
  4. Step 4: Simplify right side
    17,877.28x = 254,757,580.12
  5. Step 5: Solve for x
    x = 254,757,580.12/17,877.28
  6. Step 6: Final answer
    x = 14,250.35

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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.