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Finding the Fourth Proportional to 13,838.92, 19,097.10 and 7,871.08

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Solution

The fourth proportional to 13,838.92, 19,097.10 and 7,871.08 is: 10,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.92 : 19,097.10 = 7,871.08 : x
  2. Step 2: Convert to fraction form
    13,838.92/19,097.10 = 7,871.08/x
  3. Step 3: Cross multiply
    13,838.92x = 19,097.10 × 7,871.08
  4. Step 4: Simplify right side
    13,838.92x = 150,314,801.87
  5. Step 5: Solve for x
    x = 150,314,801.87/13,838.92
  6. Step 6: Final answer
    x = 10,861.74

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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.