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Finding the Fourth Proportional to 17,762.83, 24,514.79 and 10,209.44

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Solution

The fourth proportional to 17,762.83, 24,514.79 and 10,209.44 is: 14,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.83 : 24,514.79 = 10,209.44 : x
  2. Step 2: Convert to fraction form
    17,762.83/24,514.79 = 10,209.44/x
  3. Step 3: Cross multiply
    17,762.83x = 24,514.79 × 10,209.44
  4. Step 4: Simplify right side
    17,762.83x = 250,282,287.86
  5. Step 5: Solve for x
    x = 250,282,287.86/17,762.83
  6. Step 6: Final answer
    x = 14,090.23

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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.