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Finding the Fourth Proportional to 23,433.70, 32,338.70 and 12,823.42

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Solution

The fourth proportional to 23,433.70, 32,338.70 and 12,823.42 is: 17,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.70 : 32,338.70 = 12,823.42 : x
  2. Step 2: Convert to fraction form
    23,433.70/32,338.70 = 12,823.42/x
  3. Step 3: Cross multiply
    23,433.70x = 32,338.70 × 12,823.42
  4. Step 4: Simplify right side
    23,433.70x = 414,692,732.35
  5. Step 5: Solve for x
    x = 414,692,732.35/23,433.70
  6. Step 6: Final answer
    x = 17,696.43

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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.