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Finding the Fourth Proportional to 15,732.53, 23,601.98 and 5,203.34

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Solution

The fourth proportional to 15,732.53, 23,601.98 and 5,203.34 is: 7,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.53 : 23,601.98 = 5,203.34 : x
  2. Step 2: Convert to fraction form
    15,732.53/23,601.98 = 5,203.34/x
  3. Step 3: Cross multiply
    15,732.53x = 23,601.98 × 5,203.34
  4. Step 4: Simplify right side
    15,732.53x = 122,809,110.12
  5. Step 5: Solve for x
    x = 122,809,110.12/15,732.53
  6. Step 6: Final answer
    x = 7,806.06

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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.