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Finding the Fourth Proportional to 12,193.60, 18,328.80 and 11,963.20

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Solution

The fourth proportional to 12,193.60, 18,328.80 and 11,963.20 is: 17,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.60 : 18,328.80 = 11,963.20 : x
  2. Step 2: Convert to fraction form
    12,193.60/18,328.80 = 11,963.20/x
  3. Step 3: Cross multiply
    12,193.60x = 18,328.80 × 11,963.20
  4. Step 4: Simplify right side
    12,193.60x = 219,271,100.16
  5. Step 5: Solve for x
    x = 219,271,100.16/12,193.60
  6. Step 6: Final answer
    x = 17,982.47

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1.5x scale

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.