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Finding the Fourth Proportional to 16,537.40, 22,821.14 and 8,983.40

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Solution

The fourth proportional to 16,537.40, 22,821.14 and 8,983.40 is: 12,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.40 : 22,821.14 = 8,983.40 : x
  2. Step 2: Convert to fraction form
    16,537.40/22,821.14 = 8,983.40/x
  3. Step 3: Cross multiply
    16,537.40x = 22,821.14 × 8,983.40
  4. Step 4: Simplify right side
    16,537.40x = 205,011,429.08
  5. Step 5: Solve for x
    x = 205,011,429.08/16,537.40
  6. Step 6: Final answer
    x = 12,396.84

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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.