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Finding the Fourth Proportional to 13,705.09, 20,541.06 and 6,674.56

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Solution

The fourth proportional to 13,705.09, 20,541.06 and 6,674.56 is: 10,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.09 : 20,541.06 = 6,674.56 : x
  2. Step 2: Convert to fraction form
    13,705.09/20,541.06 = 6,674.56/x
  3. Step 3: Cross multiply
    13,705.09x = 20,541.06 × 6,674.56
  4. Step 4: Simplify right side
    13,705.09x = 137,102,486.08
  5. Step 5: Solve for x
    x = 137,102,486.08/13,705.09
  6. Step 6: Final answer
    x = 10,003.77

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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.