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Finding the Fourth Proportional to 24,684.96, 34,067.12 and 14,074.84

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Solution

The fourth proportional to 24,684.96, 34,067.12 and 14,074.84 is: 19,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684.96 : 34,067.12 = 14,074.84 : x
  2. Step 2: Convert to fraction form
    24,684.96/34,067.12 = 14,074.84/x
  3. Step 3: Cross multiply
    24,684.96x = 34,067.12 × 14,074.84
  4. Step 4: Simplify right side
    24,684.96x = 479,489,263.26
  5. Step 5: Solve for x
    x = 479,489,263.26/24,684.96
  6. Step 6: Final answer
    x = 19,424.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.