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Finding the Fourth Proportional to 16,539.84, 22,824.90 and 8,986.12

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Solution

The fourth proportional to 16,539.84, 22,824.90 and 8,986.12 is: 12,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.84 : 22,824.90 = 8,986.12 : x
  2. Step 2: Convert to fraction form
    16,539.84/22,824.90 = 8,986.12/x
  3. Step 3: Cross multiply
    16,539.84x = 22,824.90 × 8,986.12
  4. Step 4: Simplify right side
    16,539.84x = 205,107,290.39
  5. Step 5: Solve for x
    x = 205,107,290.39/16,539.84
  6. Step 6: Final answer
    x = 12,400.80

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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.