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Finding the Fourth Proportional to 13,024.94, 17,974.37 and 7,056.74

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Solution

The fourth proportional to 13,024.94, 17,974.37 and 7,056.74 is: 9,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.94 : 17,974.37 = 7,056.74 : x
  2. Step 2: Convert to fraction form
    13,024.94/17,974.37 = 7,056.74/x
  3. Step 3: Cross multiply
    13,024.94x = 17,974.37 × 7,056.74
  4. Step 4: Simplify right side
    13,024.94x = 126,840,518.33
  5. Step 5: Solve for x
    x = 126,840,518.33/13,024.94
  6. Step 6: Final answer
    x = 9,738.28

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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.