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Finding the Fourth Proportional to 16,609.36, 22,919.88 and 9,157.36

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Solution

The fourth proportional to 16,609.36, 22,919.88 and 9,157.36 is: 12,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609.36 : 22,919.88 = 9,157.36 : x
  2. Step 2: Convert to fraction form
    16,609.36/22,919.88 = 9,157.36/x
  3. Step 3: Cross multiply
    16,609.36x = 22,919.88 × 9,157.36
  4. Step 4: Simplify right side
    16,609.36x = 209,885,592.32
  5. Step 5: Solve for x
    x = 209,885,592.32/16,609.36
  6. Step 6: Final answer
    x = 12,636.59

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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.