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Finding the Fourth Proportional to 16,805.76, 25,204.16 and 10,209.12

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Solution

The fourth proportional to 16,805.76, 25,204.16 and 10,209.12 is: 15,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.76 : 25,204.16 = 10,209.12 : x
  2. Step 2: Convert to fraction form
    16,805.76/25,204.16 = 10,209.12/x
  3. Step 3: Cross multiply
    16,805.76x = 25,204.16 × 10,209.12
  4. Step 4: Simplify right side
    16,805.76x = 257,312,293.94
  5. Step 5: Solve for x
    x = 257,312,293.94/16,805.76
  6. Step 6: Final answer
    x = 15,310.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.