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Finding the Fourth Proportional to 25,393.94, 38,080.38 and 9,596.24

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Solution

The fourth proportional to 25,393.94, 38,080.38 and 9,596.24 is: 14,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,393.94 : 38,080.38 = 9,596.24 : x
  2. Step 2: Convert to fraction form
    25,393.94/38,080.38 = 9,596.24/x
  3. Step 3: Cross multiply
    25,393.94x = 38,080.38 × 9,596.24
  4. Step 4: Simplify right side
    25,393.94x = 365,428,465.77
  5. Step 5: Solve for x
    x = 365,428,465.77/25,393.94
  6. Step 6: Final answer
    x = 14,390.38

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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.