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Finding the Fourth Proportional to 23,793.78, 32,782.52 and 15,713.08

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Solution

The fourth proportional to 23,793.78, 32,782.52 and 15,713.08 is: 21,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.78 : 32,782.52 = 15,713.08 : x
  2. Step 2: Convert to fraction form
    23,793.78/32,782.52 = 15,713.08/x
  3. Step 3: Cross multiply
    23,793.78x = 32,782.52 × 15,713.08
  4. Step 4: Simplify right side
    23,793.78x = 515,114,359.36
  5. Step 5: Solve for x
    x = 515,114,359.36/23,793.78
  6. Step 6: Final answer
    x = 21,649.12

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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.