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Finding the Fourth Proportional to 16,971.72, 23,422.07 and 9,418.07

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Solution

The fourth proportional to 16,971.72, 23,422.07 and 9,418.07 is: 12,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.72 : 23,422.07 = 9,418.07 : x
  2. Step 2: Convert to fraction form
    16,971.72/23,422.07 = 9,418.07/x
  3. Step 3: Cross multiply
    16,971.72x = 23,422.07 × 9,418.07
  4. Step 4: Simplify right side
    16,971.72x = 220,590,689.07
  5. Step 5: Solve for x
    x = 220,590,689.07/16,971.72
  6. Step 6: Final answer
    x = 12,997.54

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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.