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Finding the Fourth Proportional to 16,609.48, 22,921.08 and 9,157.48

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Solution

The fourth proportional to 16,609.48, 22,921.08 and 9,157.48 is: 12,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609.48 : 22,921.08 = 9,157.48 : x
  2. Step 2: Convert to fraction form
    16,609.48/22,921.08 = 9,157.48/x
  3. Step 3: Cross multiply
    16,609.48x = 22,921.08 × 9,157.48
  4. Step 4: Simplify right side
    16,609.48x = 209,899,331.68
  5. Step 5: Solve for x
    x = 209,899,331.68/16,609.48
  6. Step 6: Final answer
    x = 12,637.32

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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.