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Finding the Fourth Proportional to 25,792.16, 38,688.60 and 7,324.16

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Solution

The fourth proportional to 25,792.16, 38,688.60 and 7,324.16 is: 10,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.16 : 38,688.60 = 7,324.16 : x
  2. Step 2: Convert to fraction form
    25,792.16/38,688.60 = 7,324.16/x
  3. Step 3: Cross multiply
    25,792.16x = 38,688.60 × 7,324.16
  4. Step 4: Simplify right side
    25,792.16x = 283,361,496.58
  5. Step 5: Solve for x
    x = 283,361,496.58/25,792.16
  6. Step 6: Final answer
    x = 10,986.34

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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.