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Finding the Fourth Proportional to 15,906.17, 23,859.56 and 4,812.82

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Solution

The fourth proportional to 15,906.17, 23,859.56 and 4,812.82 is: 7,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.17 : 23,859.56 = 4,812.82 : x
  2. Step 2: Convert to fraction form
    15,906.17/23,859.56 = 4,812.82/x
  3. Step 3: Cross multiply
    15,906.17x = 23,859.56 × 4,812.82
  4. Step 4: Simplify right side
    15,906.17x = 114,831,719.94
  5. Step 5: Solve for x
    x = 114,831,719.94/15,906.17
  6. Step 6: Final answer
    x = 7,219.32

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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.