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Finding the Fourth Proportional to 16,757.76, 23,126.08 and 9,684.48

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Solution

The fourth proportional to 16,757.76, 23,126.08 and 9,684.48 is: 13,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,757.76 : 23,126.08 = 9,684.48 : x
  2. Step 2: Convert to fraction form
    16,757.76/23,126.08 = 9,684.48/x
  3. Step 3: Cross multiply
    16,757.76x = 23,126.08 × 9,684.48
  4. Step 4: Simplify right side
    16,757.76x = 223,964,059.24
  5. Step 5: Solve for x
    x = 223,964,059.24/16,757.76
  6. Step 6: Final answer
    x = 13,364.80

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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.