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Finding the Fourth Proportional to 16,942.56, 25,421.12 and 9,156.84

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Solution

The fourth proportional to 16,942.56, 25,421.12 and 9,156.84 is: 13,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,942.56 : 25,421.12 = 9,156.84 : x
  2. Step 2: Convert to fraction form
    16,942.56/25,421.12 = 9,156.84/x
  3. Step 3: Cross multiply
    16,942.56x = 25,421.12 × 9,156.84
  4. Step 4: Simplify right side
    16,942.56x = 232,777,128.46
  5. Step 5: Solve for x
    x = 232,777,128.46/16,942.56
  6. Step 6: Final answer
    x = 13,739.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.