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Finding the Fourth Proportional to 25,696.31, 35,462.97 and 14,365.80

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Solution

The fourth proportional to 25,696.31, 35,462.97 and 14,365.80 is: 19,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.31 : 35,462.97 = 14,365.80 : x
  2. Step 2: Convert to fraction form
    25,696.31/35,462.97 = 14,365.80/x
  3. Step 3: Cross multiply
    25,696.31x = 35,462.97 × 14,365.80
  4. Step 4: Simplify right side
    25,696.31x = 509,453,934.43
  5. Step 5: Solve for x
    x = 509,453,934.43/25,696.31
  6. Step 6: Final answer
    x = 19,825.96

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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.