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Finding the Fourth Proportional to 25,601.38, 38,375.67 and 9,802.69

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Solution

The fourth proportional to 25,601.38, 38,375.67 and 9,802.69 is: 14,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,601.38 : 38,375.67 = 9,802.69 : x
  2. Step 2: Convert to fraction form
    25,601.38/38,375.67 = 9,802.69/x
  3. Step 3: Cross multiply
    25,601.38x = 38,375.67 × 9,802.69
  4. Step 4: Simplify right side
    25,601.38x = 376,184,796.55
  5. Step 5: Solve for x
    x = 376,184,796.55/25,601.38
  6. Step 6: Final answer
    x = 14,693.93

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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.