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Finding the Fourth Proportional to 15,496.84, 23,245.74 and 7,380.64

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Solution

The fourth proportional to 15,496.84, 23,245.74 and 7,380.64 is: 11,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496.84 : 23,245.74 = 7,380.64 : x
  2. Step 2: Convert to fraction form
    15,496.84/23,245.74 = 7,380.64/x
  3. Step 3: Cross multiply
    15,496.84x = 23,245.74 × 7,380.64
  4. Step 4: Simplify right side
    15,496.84x = 171,568,438.47
  5. Step 5: Solve for x
    x = 171,568,438.47/15,496.84
  6. Step 6: Final answer
    x = 11,071.19

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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.