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Finding the Fourth Proportional to 16,762.22, 23,131.23 and 9,310.70

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Solution

The fourth proportional to 16,762.22, 23,131.23 and 9,310.70 is: 12,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.22 : 23,131.23 = 9,310.70 : x
  2. Step 2: Convert to fraction form
    16,762.22/23,131.23 = 9,310.70/x
  3. Step 3: Cross multiply
    16,762.22x = 23,131.23 × 9,310.70
  4. Step 4: Simplify right side
    16,762.22x = 215,367,943.16
  5. Step 5: Solve for x
    x = 215,367,943.16/16,762.22
  6. Step 6: Final answer
    x = 12,848.41

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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.