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Finding the Fourth Proportional to 24,999, 34,499.34 and 13,821.72

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Solution

The fourth proportional to 24,999, 34,499.34 and 13,821.72 is: 19,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,999 : 34,499.34 = 13,821.72 : x
  2. Step 2: Convert to fraction form
    24,999/34,499.34 = 13,821.72/x
  3. Step 3: Cross multiply
    24,999x = 34,499.34 × 13,821.72
  4. Step 4: Simplify right side
    24,999x = 476,840,217.66
  5. Step 5: Solve for x
    x = 476,840,217.66/24,999
  6. Step 6: Final answer
    x = 19,074.37

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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.