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Finding the Fourth Proportional to 24,783, 34,201.26 and 13,605.72

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Solution

The fourth proportional to 24,783, 34,201.26 and 13,605.72 is: 18,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783 : 34,201.26 = 13,605.72 : x
  2. Step 2: Convert to fraction form
    24,783/34,201.26 = 13,605.72/x
  3. Step 3: Cross multiply
    24,783x = 34,201.26 × 13,605.72
  4. Step 4: Simplify right side
    24,783x = 465,332,767.21
  5. Step 5: Solve for x
    x = 465,332,767.21/24,783
  6. Step 6: Final answer
    x = 18,776.29

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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.