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Finding the Fourth Proportional to 13,792.38, 19,033.46 and 7,504.72

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Solution

The fourth proportional to 13,792.38, 19,033.46 and 7,504.72 is: 10,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.38 : 19,033.46 = 7,504.72 : x
  2. Step 2: Convert to fraction form
    13,792.38/19,033.46 = 7,504.72/x
  3. Step 3: Cross multiply
    13,792.38x = 19,033.46 × 7,504.72
  4. Step 4: Simplify right side
    13,792.38x = 142,840,787.93
  5. Step 5: Solve for x
    x = 142,840,787.93/13,792.38
  6. Step 6: Final answer
    x = 10,356.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.