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Finding the Fourth Proportional to 24,867, 34,316.53 and 13,689

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Solution

The fourth proportional to 24,867, 34,316.53 and 13,689 is: 18,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867 : 34,316.53 = 13,689 : x
  2. Step 2: Convert to fraction form
    24,867/34,316.53 = 13,689/x
  3. Step 3: Cross multiply
    24,867x = 34,316.53 × 13,689
  4. Step 4: Simplify right side
    24,867x = 469,758,944.95
  5. Step 5: Solve for x
    x = 469,758,944.95/24,867
  6. Step 6: Final answer
    x = 18,890.86

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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.