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Finding the Fourth Proportional to 13,474.92, 18,595.32 and 7,506.22

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Solution

The fourth proportional to 13,474.92, 18,595.32 and 7,506.22 is: 10,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.92 : 18,595.32 = 7,506.22 : x
  2. Step 2: Convert to fraction form
    13,474.92/18,595.32 = 7,506.22/x
  3. Step 3: Cross multiply
    13,474.92x = 18,595.32 × 7,506.22
  4. Step 4: Simplify right side
    13,474.92x = 139,580,562.89
  5. Step 5: Solve for x
    x = 139,580,562.89/13,474.92
  6. Step 6: Final answer
    x = 10,358.54

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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.