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Finding the Fourth Proportional to 16,651.86, 22,984.20 and 9,580.56

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Solution

The fourth proportional to 16,651.86, 22,984.20 and 9,580.56 is: 13,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.86 : 22,984.20 = 9,580.56 : x
  2. Step 2: Convert to fraction form
    16,651.86/22,984.20 = 9,580.56/x
  3. Step 3: Cross multiply
    16,651.86x = 22,984.20 × 9,580.56
  4. Step 4: Simplify right side
    16,651.86x = 220,201,507.15
  5. Step 5: Solve for x
    x = 220,201,507.15/16,651.86
  6. Step 6: Final answer
    x = 13,223.84

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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.