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Finding the Fourth Proportional to 23,827.40, 32,880.96 and 13,218.02

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Solution

The fourth proportional to 23,827.40, 32,880.96 and 13,218.02 is: 18,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.40 : 32,880.96 = 13,218.02 : x
  2. Step 2: Convert to fraction form
    23,827.40/32,880.96 = 13,218.02/x
  3. Step 3: Cross multiply
    23,827.40x = 32,880.96 × 13,218.02
  4. Step 4: Simplify right side
    23,827.40x = 434,621,022.49
  5. Step 5: Solve for x
    x = 434,621,022.49/23,827.40
  6. Step 6: Final answer
    x = 18,240.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.