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Finding the Fourth Proportional to 16,958.76, 23,402.16 and 9,404.16

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Solution

The fourth proportional to 16,958.76, 23,402.16 and 9,404.16 is: 12,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,958.76 : 23,402.16 = 9,404.16 : x
  2. Step 2: Convert to fraction form
    16,958.76/23,402.16 = 9,404.16/x
  3. Step 3: Cross multiply
    16,958.76x = 23,402.16 × 9,404.16
  4. Step 4: Simplify right side
    16,958.76x = 220,077,656.99
  5. Step 5: Solve for x
    x = 220,077,656.99/16,958.76
  6. Step 6: Final answer
    x = 12,977.23

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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.