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Finding the Fourth Proportional to 23,823, 32,872.80 and 13,751.28

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Solution

The fourth proportional to 23,823, 32,872.80 and 13,751.28 is: 18,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823 : 32,872.80 = 13,751.28 : x
  2. Step 2: Convert to fraction form
    23,823/32,872.80 = 13,751.28/x
  3. Step 3: Cross multiply
    23,823x = 32,872.80 × 13,751.28
  4. Step 4: Simplify right side
    23,823x = 452,043,077.18
  5. Step 5: Solve for x
    x = 452,043,077.18/23,823
  6. Step 6: Final answer
    x = 18,975.07

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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.