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Finding the Fourth Proportional to 24,384, 33,647.22 and 13,771.38

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Solution

The fourth proportional to 24,384, 33,647.22 and 13,771.38 is: 19,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 33,647.22 = 13,771.38 : x
  2. Step 2: Convert to fraction form
    24,384/33,647.22 = 13,771.38/x
  3. Step 3: Cross multiply
    24,384x = 33,647.22 × 13,771.38
  4. Step 4: Simplify right side
    24,384x = 463,368,652.56
  5. Step 5: Solve for x
    x = 463,368,652.56/24,384
  6. Step 6: Final answer
    x = 19,002.98

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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.