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Finding the Fourth Proportional to 23,892, 32,969.40 and 13,281.24

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Solution

The fourth proportional to 23,892, 32,969.40 and 13,281.24 is: 18,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892 : 32,969.40 = 13,281.24 : x
  2. Step 2: Convert to fraction form
    23,892/32,969.40 = 13,281.24/x
  3. Step 3: Cross multiply
    23,892x = 32,969.40 × 13,281.24
  4. Step 4: Simplify right side
    23,892x = 437,874,514.06
  5. Step 5: Solve for x
    x = 437,874,514.06/23,892
  6. Step 6: Final answer
    x = 18,327.24

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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.