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Finding the Fourth Proportional to 13,842.84, 19,102.44 and 7,873.68

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Solution

The fourth proportional to 13,842.84, 19,102.44 and 7,873.68 is: 10,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.84 : 19,102.44 = 7,873.68 : x
  2. Step 2: Convert to fraction form
    13,842.84/19,102.44 = 7,873.68/x
  3. Step 3: Cross multiply
    13,842.84x = 19,102.44 × 7,873.68
  4. Step 4: Simplify right side
    13,842.84x = 150,406,499.78
  5. Step 5: Solve for x
    x = 150,406,499.78/13,842.84
  6. Step 6: Final answer
    x = 10,865.29

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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.