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Finding the Fourth Proportional to 16,965.63, 23,410.02 and 9,697.20

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Solution

The fourth proportional to 16,965.63, 23,410.02 and 9,697.20 is: 13,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.63 : 23,410.02 = 9,697.20 : x
  2. Step 2: Convert to fraction form
    16,965.63/23,410.02 = 9,697.20/x
  3. Step 3: Cross multiply
    16,965.63x = 23,410.02 × 9,697.20
  4. Step 4: Simplify right side
    16,965.63x = 227,011,645.94
  5. Step 5: Solve for x
    x = 227,011,645.94/16,965.63
  6. Step 6: Final answer
    x = 13,380.68

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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.