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Finding the Fourth Proportional to 23,803.84, 32,850.88 and 13,193.92

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Solution

The fourth proportional to 23,803.84, 32,850.88 and 13,193.92 is: 18,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.84 : 32,850.88 = 13,193.92 : x
  2. Step 2: Convert to fraction form
    23,803.84/32,850.88 = 13,193.92/x
  3. Step 3: Cross multiply
    23,803.84x = 32,850.88 × 13,193.92
  4. Step 4: Simplify right side
    23,803.84x = 433,431,882.65
  5. Step 5: Solve for x
    x = 433,431,882.65/23,803.84
  6. Step 6: Final answer
    x = 18,208.49

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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.