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Finding the Fourth Proportional to 13,842.28, 19,102.80 and 7,873.80

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Solution

The fourth proportional to 13,842.28, 19,102.80 and 7,873.80 is: 10,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.28 : 19,102.80 = 7,873.80 : x
  2. Step 2: Convert to fraction form
    13,842.28/19,102.80 = 7,873.80/x
  3. Step 3: Cross multiply
    13,842.28x = 19,102.80 × 7,873.80
  4. Step 4: Simplify right side
    13,842.28x = 150,411,626.64
  5. Step 5: Solve for x
    x = 150,411,626.64/13,842.28
  6. Step 6: Final answer
    x = 10,866.10

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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.