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Finding the Fourth Proportional to 23,824.61, 32,851.02 and 15,199.28

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Solution

The fourth proportional to 23,824.61, 32,851.02 and 15,199.28 is: 20,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.61 : 32,851.02 = 15,199.28 : x
  2. Step 2: Convert to fraction form
    23,824.61/32,851.02 = 15,199.28/x
  3. Step 3: Cross multiply
    23,824.61x = 32,851.02 × 15,199.28
  4. Step 4: Simplify right side
    23,824.61x = 499,311,851.27
  5. Step 5: Solve for x
    x = 499,311,851.27/23,824.61
  6. Step 6: Final answer
    x = 20,957.82

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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.