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Finding the Fourth Proportional to 27,582.96, 41,361.48 and 9,102

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Solution

The fourth proportional to 27,582.96, 41,361.48 and 9,102 is: 13,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.96 : 41,361.48 = 9,102 : x
  2. Step 2: Convert to fraction form
    27,582.96/41,361.48 = 9,102/x
  3. Step 3: Cross multiply
    27,582.96x = 41,361.48 × 9,102
  4. Step 4: Simplify right side
    27,582.96x = 376,472,190.96
  5. Step 5: Solve for x
    x = 376,472,190.96/27,582.96
  6. Step 6: Final answer
    x = 13,648.72

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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.