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Finding the Fourth Proportional to 25,105.78, 37,658.69 and 9,523.41

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Solution

The fourth proportional to 25,105.78, 37,658.69 and 9,523.41 is: 14,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.78 : 37,658.69 = 9,523.41 : x
  2. Step 2: Convert to fraction form
    25,105.78/37,658.69 = 9,523.41/x
  3. Step 3: Cross multiply
    25,105.78x = 37,658.69 × 9,523.41
  4. Step 4: Simplify right side
    25,105.78x = 358,638,991.81
  5. Step 5: Solve for x
    x = 358,638,991.81/25,105.78
  6. Step 6: Final answer
    x = 14,285.12

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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.