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Finding the Fourth Proportional to 25,796.40, 38,782.08 and 20,597.82

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Solution

The fourth proportional to 25,796.40, 38,782.08 and 20,597.82 is: 30,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,796.40 : 38,782.08 = 20,597.82 : x
  2. Step 2: Convert to fraction form
    25,796.40/38,782.08 = 20,597.82/x
  3. Step 3: Cross multiply
    25,796.40x = 38,782.08 × 20,597.82
  4. Step 4: Simplify right side
    25,796.40x = 798,826,303.07
  5. Step 5: Solve for x
    x = 798,826,303.07/25,796.40
  6. Step 6: Final answer
    x = 30,966.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.