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Finding the Fourth Proportional to 25,714.53, 38,532.11 and 17,361.81

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Solution

The fourth proportional to 25,714.53, 38,532.11 and 17,361.81 is: 26,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.53 : 38,532.11 = 17,361.81 : x
  2. Step 2: Convert to fraction form
    25,714.53/38,532.11 = 17,361.81/x
  3. Step 3: Cross multiply
    25,714.53x = 38,532.11 × 17,361.81
  4. Step 4: Simplify right side
    25,714.53x = 668,987,085.91
  5. Step 5: Solve for x
    x = 668,987,085.91/25,714.53
  6. Step 6: Final answer
    x = 26,015.92

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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.