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Finding the Fourth Proportional to 16,762.24, 23,131.90 and 9,310.24

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Solution

The fourth proportional to 16,762.24, 23,131.90 and 9,310.24 is: 12,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.24 : 23,131.90 = 9,310.24 : x
  2. Step 2: Convert to fraction form
    16,762.24/23,131.90 = 9,310.24/x
  3. Step 3: Cross multiply
    16,762.24x = 23,131.90 × 9,310.24
  4. Step 4: Simplify right side
    16,762.24x = 215,363,540.66
  5. Step 5: Solve for x
    x = 215,363,540.66/16,762.24
  6. Step 6: Final answer
    x = 12,848.14

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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.