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Finding the Fourth Proportional to 13,281.50, 19,922.64 and 7,433.54

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Solution

The fourth proportional to 13,281.50, 19,922.64 and 7,433.54 is: 11,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.50 : 19,922.64 = 7,433.54 : x
  2. Step 2: Convert to fraction form
    13,281.50/19,922.64 = 7,433.54/x
  3. Step 3: Cross multiply
    13,281.50x = 19,922.64 × 7,433.54
  4. Step 4: Simplify right side
    13,281.50x = 148,095,741.35
  5. Step 5: Solve for x
    x = 148,095,741.35/13,281.50
  6. Step 6: Final answer
    x = 11,150.53

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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.