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Finding the Fourth Proportional to 15,497.82, 23,175.74 and 11,551.74

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Solution

The fourth proportional to 15,497.82, 23,175.74 and 11,551.74 is: 17,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.82 : 23,175.74 = 11,551.74 : x
  2. Step 2: Convert to fraction form
    15,497.82/23,175.74 = 11,551.74/x
  3. Step 3: Cross multiply
    15,497.82x = 23,175.74 × 11,551.74
  4. Step 4: Simplify right side
    15,497.82x = 267,720,065.03
  5. Step 5: Solve for x
    x = 267,720,065.03/15,497.82
  6. Step 6: Final answer
    x = 17,274.69

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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.