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Finding the Fourth Proportional to 16,661.80, 22,994.16 and 9,589.30

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Solution

The fourth proportional to 16,661.80, 22,994.16 and 9,589.30 is: 13,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661.80 : 22,994.16 = 9,589.30 : x
  2. Step 2: Convert to fraction form
    16,661.80/22,994.16 = 9,589.30/x
  3. Step 3: Cross multiply
    16,661.80x = 22,994.16 × 9,589.30
  4. Step 4: Simplify right side
    16,661.80x = 220,497,898.49
  5. Step 5: Solve for x
    x = 220,497,898.49/16,661.80
  6. Step 6: Final answer
    x = 13,233.74

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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.