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Finding the Fourth Proportional to 24,389, 33,658.26 and 13,778.36

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Solution

The fourth proportional to 24,389, 33,658.26 and 13,778.36 is: 19,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,389 : 33,658.26 = 13,778.36 : x
  2. Step 2: Convert to fraction form
    24,389/33,658.26 = 13,778.36/x
  3. Step 3: Cross multiply
    24,389x = 33,658.26 × 13,778.36
  4. Step 4: Simplify right side
    24,389x = 463,755,623.25
  5. Step 5: Solve for x
    x = 463,755,623.25/24,389
  6. Step 6: Final answer
    x = 19,014.95

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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.