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Finding the Fourth Proportional to 25,862.30, 35,693.84 and 15,796.54

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Solution

The fourth proportional to 25,862.30, 35,693.84 and 15,796.54 is: 21,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.30 : 35,693.84 = 15,796.54 : x
  2. Step 2: Convert to fraction form
    25,862.30/35,693.84 = 15,796.54/x
  3. Step 3: Cross multiply
    25,862.30x = 35,693.84 × 15,796.54
  4. Step 4: Simplify right side
    25,862.30x = 563,839,010.22
  5. Step 5: Solve for x
    x = 563,839,010.22/25,862.30
  6. Step 6: Final answer
    x = 21,801.58

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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.