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Finding the Fourth Proportional to 24,827.63, 34,262.12 and 13,649.63

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Solution

The fourth proportional to 24,827.63, 34,262.12 and 13,649.63 is: 18,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.63 : 34,262.12 = 13,649.63 : x
  2. Step 2: Convert to fraction form
    24,827.63/34,262.12 = 13,649.63/x
  3. Step 3: Cross multiply
    24,827.63x = 34,262.12 × 13,649.63
  4. Step 4: Simplify right side
    24,827.63x = 467,665,123.83
  5. Step 5: Solve for x
    x = 467,665,123.83/24,827.63
  6. Step 6: Final answer
    x = 18,836.48

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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.