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Finding the Fourth Proportional to 13,842.96, 19,101.57 and 7,792.46

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Solution

The fourth proportional to 13,842.96, 19,101.57 and 7,792.46 is: 10,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.96 : 19,101.57 = 7,792.46 : x
  2. Step 2: Convert to fraction form
    13,842.96/19,101.57 = 7,792.46/x
  3. Step 3: Cross multiply
    13,842.96x = 19,101.57 × 7,792.46
  4. Step 4: Simplify right side
    13,842.96x = 148,848,124.65
  5. Step 5: Solve for x
    x = 148,848,124.65/13,842.96
  6. Step 6: Final answer
    x = 10,752.62

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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.