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Finding the Fourth Proportional to 25,252.42, 37,885.50 and 7,721.86

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Solution

The fourth proportional to 25,252.42, 37,885.50 and 7,721.86 is: 11,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,252.42 : 37,885.50 = 7,721.86 : x
  2. Step 2: Convert to fraction form
    25,252.42/37,885.50 = 7,721.86/x
  3. Step 3: Cross multiply
    25,252.42x = 37,885.50 × 7,721.86
  4. Step 4: Simplify right side
    25,252.42x = 292,546,527.03
  5. Step 5: Solve for x
    x = 292,546,527.03/25,252.42
  6. Step 6: Final answer
    x = 11,584.89

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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.