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Finding the Fourth Proportional to 13,792.50, 19,027.74 and 10,796.31

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Solution

The fourth proportional to 13,792.50, 19,027.74 and 10,796.31 is: 14,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.50 : 19,027.74 = 10,796.31 : x
  2. Step 2: Convert to fraction form
    13,792.50/19,027.74 = 10,796.31/x
  3. Step 3: Cross multiply
    13,792.50x = 19,027.74 × 10,796.31
  4. Step 4: Simplify right side
    13,792.50x = 205,429,379.64
  5. Step 5: Solve for x
    x = 205,429,379.64/13,792.50
  6. Step 6: Final answer
    x = 14,894.28

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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.