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Finding the Fourth Proportional to 25,262.57, 37,893.94 and 7,732.32

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Solution

The fourth proportional to 25,262.57, 37,893.94 and 7,732.32 is: 11,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262.57 : 37,893.94 = 7,732.32 : x
  2. Step 2: Convert to fraction form
    25,262.57/37,893.94 = 7,732.32/x
  3. Step 3: Cross multiply
    25,262.57x = 37,893.94 × 7,732.32
  4. Step 4: Simplify right side
    25,262.57x = 293,008,050.81
  5. Step 5: Solve for x
    x = 293,008,050.81/25,262.57
  6. Step 6: Final answer
    x = 11,598.51

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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.