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Finding the Fourth Proportional to 13,064.32, 18,028.76 and 7,096

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Solution

The fourth proportional to 13,064.32, 18,028.76 and 7,096 is: 9,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.32 : 18,028.76 = 7,096 : x
  2. Step 2: Convert to fraction form
    13,064.32/18,028.76 = 7,096/x
  3. Step 3: Cross multiply
    13,064.32x = 18,028.76 × 7,096
  4. Step 4: Simplify right side
    13,064.32x = 127,932,080.96
  5. Step 5: Solve for x
    x = 127,932,080.96/13,064.32
  6. Step 6: Final answer
    x = 9,792.48

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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.