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Finding the Fourth Proportional to 16,892, 23,312.40 and 9,441.44

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Solution

The fourth proportional to 16,892, 23,312.40 and 9,441.44 is: 13,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,892 : 23,312.40 = 9,441.44 : x
  2. Step 2: Convert to fraction form
    16,892/23,312.40 = 9,441.44/x
  3. Step 3: Cross multiply
    16,892x = 23,312.40 × 9,441.44
  4. Step 4: Simplify right side
    16,892x = 220,102,625.86
  5. Step 5: Solve for x
    x = 220,102,625.86/16,892
  6. Step 6: Final answer
    x = 13,029.99

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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.