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Finding the Fourth Proportional to 16,714.80, 23,066.20 and 9,262.80

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Solution

The fourth proportional to 16,714.80, 23,066.20 and 9,262.80 is: 12,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.80 : 23,066.20 = 9,262.80 : x
  2. Step 2: Convert to fraction form
    16,714.80/23,066.20 = 9,262.80/x
  3. Step 3: Cross multiply
    16,714.80x = 23,066.20 × 9,262.80
  4. Step 4: Simplify right side
    16,714.80x = 213,657,597.36
  5. Step 5: Solve for x
    x = 213,657,597.36/16,714.80
  6. Step 6: Final answer
    x = 12,782.54

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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.