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Finding the Fourth Proportional to 13,792.85, 19,033.88 and 7,660.34

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Solution

The fourth proportional to 13,792.85, 19,033.88 and 7,660.34 is: 10,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.85 : 19,033.88 = 7,660.34 : x
  2. Step 2: Convert to fraction form
    13,792.85/19,033.88 = 7,660.34/x
  3. Step 3: Cross multiply
    13,792.85x = 19,033.88 × 7,660.34
  4. Step 4: Simplify right side
    13,792.85x = 145,805,992.32
  5. Step 5: Solve for x
    x = 145,805,992.32/13,792.85
  6. Step 6: Final answer
    x = 10,571.13

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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.