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Finding the Fourth Proportional to 25,877.86, 35,713.74 and 15,265.44

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Solution

The fourth proportional to 25,877.86, 35,713.74 and 15,265.44 is: 21,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.86 : 35,713.74 = 15,265.44 : x
  2. Step 2: Convert to fraction form
    25,877.86/35,713.74 = 15,265.44/x
  3. Step 3: Cross multiply
    25,877.86x = 35,713.74 × 15,265.44
  4. Step 4: Simplify right side
    25,877.86x = 545,185,955.15
  5. Step 5: Solve for x
    x = 545,185,955.15/25,877.86
  6. Step 6: Final answer
    x = 21,067.66

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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.