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Finding the Fourth Proportional to 13,024.68, 17,974.01 and 7,056.36

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Solution

The fourth proportional to 13,024.68, 17,974.01 and 7,056.36 is: 9,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.68 : 17,974.01 = 7,056.36 : x
  2. Step 2: Convert to fraction form
    13,024.68/17,974.01 = 7,056.36/x
  3. Step 3: Cross multiply
    13,024.68x = 17,974.01 × 7,056.36
  4. Step 4: Simplify right side
    13,024.68x = 126,831,049.92
  5. Step 5: Solve for x
    x = 126,831,049.92/13,024.68
  6. Step 6: Final answer
    x = 9,737.75

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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.