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Finding the Fourth Proportional to 16,633.14, 22,957.68 and 9,563.68

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Solution

The fourth proportional to 16,633.14, 22,957.68 and 9,563.68 is: 13,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.14 : 22,957.68 = 9,563.68 : x
  2. Step 2: Convert to fraction form
    16,633.14/22,957.68 = 9,563.68/x
  3. Step 3: Cross multiply
    16,633.14x = 22,957.68 × 9,563.68
  4. Step 4: Simplify right side
    16,633.14x = 219,559,905.06
  5. Step 5: Solve for x
    x = 219,559,905.06/16,633.14
  6. Step 6: Final answer
    x = 13,200.15

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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.