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Finding the Fourth Proportional to 16,232.04, 22,402.96 and 9,425

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Solution

The fourth proportional to 16,232.04, 22,402.96 and 9,425 is: 13,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.04 : 22,402.96 = 9,425 : x
  2. Step 2: Convert to fraction form
    16,232.04/22,402.96 = 9,425/x
  3. Step 3: Cross multiply
    16,232.04x = 22,402.96 × 9,425
  4. Step 4: Simplify right side
    16,232.04x = 211,147,898
  5. Step 5: Solve for x
    x = 211,147,898/16,232.04
  6. Step 6: Final answer
    x = 13,008.09

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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.