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Finding the Fourth Proportional to 25,531.68, 38,297.58 and 8,003.04

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Solution

The fourth proportional to 25,531.68, 38,297.58 and 8,003.04 is: 12,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,531.68 : 38,297.58 = 8,003.04 : x
  2. Step 2: Convert to fraction form
    25,531.68/38,297.58 = 8,003.04/x
  3. Step 3: Cross multiply
    25,531.68x = 38,297.58 × 8,003.04
  4. Step 4: Simplify right side
    25,531.68x = 306,497,064.64
  5. Step 5: Solve for x
    x = 306,497,064.64/25,531.68
  6. Step 6: Final answer
    x = 12,004.58

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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.