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Finding the Fourth Proportional to 16,977.32, 23,428.74 and 9,525.32

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Solution

The fourth proportional to 16,977.32, 23,428.74 and 9,525.32 is: 13,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,977.32 : 23,428.74 = 9,525.32 : x
  2. Step 2: Convert to fraction form
    16,977.32/23,428.74 = 9,525.32/x
  3. Step 3: Cross multiply
    16,977.32x = 23,428.74 × 9,525.32
  4. Step 4: Simplify right side
    16,977.32x = 223,166,245.70
  5. Step 5: Solve for x
    x = 223,166,245.70/16,977.32
  6. Step 6: Final answer
    x = 13,144.96

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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.