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Finding the Fourth Proportional to 16,761.59, 23,131.22 and 9,208.59

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Solution

The fourth proportional to 16,761.59, 23,131.22 and 9,208.59 is: 12,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.59 : 23,131.22 = 9,208.59 : x
  2. Step 2: Convert to fraction form
    16,761.59/23,131.22 = 9,208.59/x
  3. Step 3: Cross multiply
    16,761.59x = 23,131.22 × 9,208.59
  4. Step 4: Simplify right side
    16,761.59x = 213,005,921.18
  5. Step 5: Solve for x
    x = 213,005,921.18/16,761.59
  6. Step 6: Final answer
    x = 12,707.98

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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.