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Finding the Fourth Proportional to 16,635.32, 22,956.74 and 9,563.12

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Solution

The fourth proportional to 16,635.32, 22,956.74 and 9,563.12 is: 13,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635.32 : 22,956.74 = 9,563.12 : x
  2. Step 2: Convert to fraction form
    16,635.32/22,956.74 = 9,563.12/x
  3. Step 3: Cross multiply
    16,635.32x = 22,956.74 × 9,563.12
  4. Step 4: Simplify right side
    16,635.32x = 219,538,059.43
  5. Step 5: Solve for x
    x = 219,538,059.43/16,635.32
  6. Step 6: Final answer
    x = 13,197.10

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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.