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Finding the Fourth Proportional to 25,986, 35,864.19 and 14,657.82

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Solution

The fourth proportional to 25,986, 35,864.19 and 14,657.82 is: 20,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986 : 35,864.19 = 14,657.82 : x
  2. Step 2: Convert to fraction form
    25,986/35,864.19 = 14,657.82/x
  3. Step 3: Cross multiply
    25,986x = 35,864.19 × 14,657.82
  4. Step 4: Simplify right side
    25,986x = 525,690,841.47
  5. Step 5: Solve for x
    x = 525,690,841.47/25,986
  6. Step 6: Final answer
    x = 20,229.77

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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.