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Finding the Fourth Proportional to 24,125, 33,292.50 and 13,514.63

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Solution

The fourth proportional to 24,125, 33,292.50 and 13,514.63 is: 18,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,125 : 33,292.50 = 13,514.63 : x
  2. Step 2: Convert to fraction form
    24,125/33,292.50 = 13,514.63/x
  3. Step 3: Cross multiply
    24,125x = 33,292.50 × 13,514.63
  4. Step 4: Simplify right side
    24,125x = 449,935,819.28
  5. Step 5: Solve for x
    x = 449,935,819.28/24,125
  6. Step 6: Final answer
    x = 18,650.19

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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.