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Finding the Fourth Proportional to 25,262.50, 37,899.21 and 9,680.14

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Solution

The fourth proportional to 25,262.50, 37,899.21 and 9,680.14 is: 14,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262.50 : 37,899.21 = 9,680.14 : x
  2. Step 2: Convert to fraction form
    25,262.50/37,899.21 = 9,680.14/x
  3. Step 3: Cross multiply
    25,262.50x = 37,899.21 × 9,680.14
  4. Step 4: Simplify right side
    25,262.50x = 366,869,658.69
  5. Step 5: Solve for x
    x = 366,869,658.69/25,262.50
  6. Step 6: Final answer
    x = 14,522.30

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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.