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Finding the Fourth Proportional to 23,793.78, 32,837.41 and 13,184.40

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Solution

The fourth proportional to 23,793.78, 32,837.41 and 13,184.40 is: 18,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.78 : 32,837.41 = 13,184.40 : x
  2. Step 2: Convert to fraction form
    23,793.78/32,837.41 = 13,184.40/x
  3. Step 3: Cross multiply
    23,793.78x = 32,837.41 × 13,184.40
  4. Step 4: Simplify right side
    23,793.78x = 432,941,548.40
  5. Step 5: Solve for x
    x = 432,941,548.40/23,793.78
  6. Step 6: Final answer
    x = 18,195.58

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1.5x scale

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.