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Finding the Fourth Proportional to 12,684.96, 17,505.12 and 7,096

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Solution

The fourth proportional to 12,684.96, 17,505.12 and 7,096 is: 9,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.96 : 17,505.12 = 7,096 : x
  2. Step 2: Convert to fraction form
    12,684.96/17,505.12 = 7,096/x
  3. Step 3: Cross multiply
    12,684.96x = 17,505.12 × 7,096
  4. Step 4: Simplify right side
    12,684.96x = 124,216,331.52
  5. Step 5: Solve for x
    x = 124,216,331.52/12,684.96
  6. Step 6: Final answer
    x = 9,792.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.