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Finding the Fourth Proportional to 13,842.05, 19,101.33 and 7,873.60

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Solution

The fourth proportional to 13,842.05, 19,101.33 and 7,873.60 is: 10,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.05 : 19,101.33 = 7,873.60 : x
  2. Step 2: Convert to fraction form
    13,842.05/19,101.33 = 7,873.60/x
  3. Step 3: Cross multiply
    13,842.05x = 19,101.33 × 7,873.60
  4. Step 4: Simplify right side
    13,842.05x = 150,396,184.13
  5. Step 5: Solve for x
    x = 150,396,184.13/13,842.05
  6. Step 6: Final answer
    x = 10,865.16

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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.