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Finding the Fourth Proportional to 13,125.75, 19,697.75 and 5,334.57

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Solution

The fourth proportional to 13,125.75, 19,697.75 and 5,334.57 is: 8,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.75 : 19,697.75 = 5,334.57 : x
  2. Step 2: Convert to fraction form
    13,125.75/19,697.75 = 5,334.57/x
  3. Step 3: Cross multiply
    13,125.75x = 19,697.75 × 5,334.57
  4. Step 4: Simplify right side
    13,125.75x = 105,078,999.54
  5. Step 5: Solve for x
    x = 105,078,999.54/13,125.75
  6. Step 6: Final answer
    x = 8,005.56

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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.