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Finding the Fourth Proportional to 16,823.28, 23,215.28 and 9,751.92

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Solution

The fourth proportional to 16,823.28, 23,215.28 and 9,751.92 is: 13,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.28 : 23,215.28 = 9,751.92 : x
  2. Step 2: Convert to fraction form
    16,823.28/23,215.28 = 9,751.92/x
  3. Step 3: Cross multiply
    16,823.28x = 23,215.28 × 9,751.92
  4. Step 4: Simplify right side
    16,823.28x = 226,393,553.34
  5. Step 5: Solve for x
    x = 226,393,553.34/16,823.28
  6. Step 6: Final answer
    x = 13,457.16

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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.