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Finding the Fourth Proportional to 23,649.60, 32,630.56 and 15,256

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Solution

The fourth proportional to 23,649.60, 32,630.56 and 15,256 is: 21,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.60 : 32,630.56 = 15,256 : x
  2. Step 2: Convert to fraction form
    23,649.60/32,630.56 = 15,256/x
  3. Step 3: Cross multiply
    23,649.60x = 32,630.56 × 15,256
  4. Step 4: Simplify right side
    23,649.60x = 497,811,823.36
  5. Step 5: Solve for x
    x = 497,811,823.36/23,649.60
  6. Step 6: Final answer
    x = 21,049.48

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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.