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Finding the Fourth Proportional to 16,655.34, 24,982.30 and 9,255.12

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Solution

The fourth proportional to 16,655.34, 24,982.30 and 9,255.12 is: 13,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.34 : 24,982.30 = 9,255.12 : x
  2. Step 2: Convert to fraction form
    16,655.34/24,982.30 = 9,255.12/x
  3. Step 3: Cross multiply
    16,655.34x = 24,982.30 × 9,255.12
  4. Step 4: Simplify right side
    16,655.34x = 231,214,184.38
  5. Step 5: Solve for x
    x = 231,214,184.38/16,655.34
  6. Step 6: Final answer
    x = 13,882.29

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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.