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Finding the Fourth Proportional to 24,391.86, 33,658.92 and 13,782.48

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Solution

The fourth proportional to 24,391.86, 33,658.92 and 13,782.48 is: 19,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391.86 : 33,658.92 = 13,782.48 : x
  2. Step 2: Convert to fraction form
    24,391.86/33,658.92 = 13,782.48/x
  3. Step 3: Cross multiply
    24,391.86x = 33,658.92 × 13,782.48
  4. Step 4: Simplify right side
    24,391.86x = 463,903,391.72
  5. Step 5: Solve for x
    x = 463,903,391.72/24,391.86
  6. Step 6: Final answer
    x = 19,018.78

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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.