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Finding the Fourth Proportional to 11,913.60, 17,884.80 and 11,827.20

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Solution

The fourth proportional to 11,913.60, 17,884.80 and 11,827.20 is: 17,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.60 : 17,884.80 = 11,827.20 : x
  2. Step 2: Convert to fraction form
    11,913.60/17,884.80 = 11,827.20/x
  3. Step 3: Cross multiply
    11,913.60x = 17,884.80 × 11,827.20
  4. Step 4: Simplify right side
    11,913.60x = 211,527,106.56
  5. Step 5: Solve for x
    x = 211,527,106.56/11,913.60
  6. Step 6: Final answer
    x = 17,755.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.