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Finding the Fourth Proportional to 22,914.64, 31,598.22 and 16,958.80

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Solution

The fourth proportional to 22,914.64, 31,598.22 and 16,958.80 is: 23,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.64 : 31,598.22 = 16,958.80 : x
  2. Step 2: Convert to fraction form
    22,914.64/31,598.22 = 16,958.80/x
  3. Step 3: Cross multiply
    22,914.64x = 31,598.22 × 16,958.80
  4. Step 4: Simplify right side
    22,914.64x = 535,867,893.34
  5. Step 5: Solve for x
    x = 535,867,893.34/22,914.64
  6. Step 6: Final answer
    x = 23,385.39

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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.