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Finding the Fourth Proportional to 13,792.25, 19,033.35 and 7,504.63

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Solution

The fourth proportional to 13,792.25, 19,033.35 and 7,504.63 is: 10,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.25 : 19,033.35 = 7,504.63 : x
  2. Step 2: Convert to fraction form
    13,792.25/19,033.35 = 7,504.63/x
  3. Step 3: Cross multiply
    13,792.25x = 19,033.35 × 7,504.63
  4. Step 4: Simplify right side
    13,792.25x = 142,838,249.41
  5. Step 5: Solve for x
    x = 142,838,249.41/13,792.25
  6. Step 6: Final answer
    x = 10,356.41

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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.