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Finding the Fourth Proportional to 25,876.73, 35,709.93 and 14,546.86

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Solution

The fourth proportional to 25,876.73, 35,709.93 and 14,546.86 is: 20,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.73 : 35,709.93 = 14,546.86 : x
  2. Step 2: Convert to fraction form
    25,876.73/35,709.93 = 14,546.86/x
  3. Step 3: Cross multiply
    25,876.73x = 35,709.93 × 14,546.86
  4. Step 4: Simplify right side
    25,876.73x = 519,467,263.04
  5. Step 5: Solve for x
    x = 519,467,263.04/25,876.73
  6. Step 6: Final answer
    x = 20,074.69

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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.