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Finding the Fourth Proportional to 24,512.86, 33,834.70 and 14,447.14

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Solution

The fourth proportional to 24,512.86, 33,834.70 and 14,447.14 is: 19,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.86 : 33,834.70 = 14,447.14 : x
  2. Step 2: Convert to fraction form
    24,512.86/33,834.70 = 14,447.14/x
  3. Step 3: Cross multiply
    24,512.86x = 33,834.70 × 14,447.14
  4. Step 4: Simplify right side
    24,512.86x = 488,814,647.76
  5. Step 5: Solve for x
    x = 488,814,647.76/24,512.86
  6. Step 6: Final answer
    x = 19,941.15

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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.