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Finding the Fourth Proportional to 25,601.75, 38,402.63 and 6,145.75

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Solution

The fourth proportional to 25,601.75, 38,402.63 and 6,145.75 is: 9,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,601.75 : 38,402.63 = 6,145.75 : x
  2. Step 2: Convert to fraction form
    25,601.75/38,402.63 = 6,145.75/x
  3. Step 3: Cross multiply
    25,601.75x = 38,402.63 × 6,145.75
  4. Step 4: Simplify right side
    25,601.75x = 236,012,963.32
  5. Step 5: Solve for x
    x = 236,012,963.32/25,601.75
  6. Step 6: Final answer
    x = 9,218.63

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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.