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Finding the Fourth Proportional to 16,644.96, 22,969.09 and 9,089.79

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Solution

The fourth proportional to 16,644.96, 22,969.09 and 9,089.79 is: 12,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.96 : 22,969.09 = 9,089.79 : x
  2. Step 2: Convert to fraction form
    16,644.96/22,969.09 = 9,089.79/x
  3. Step 3: Cross multiply
    16,644.96x = 22,969.09 × 9,089.79
  4. Step 4: Simplify right side
    16,644.96x = 208,784,204.59
  5. Step 5: Solve for x
    x = 208,784,204.59/16,644.96
  6. Step 6: Final answer
    x = 12,543.39

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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.