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Finding the Fourth Proportional to 13,838.64, 19,097.54 and 7,869.34

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Solution

The fourth proportional to 13,838.64, 19,097.54 and 7,869.34 is: 10,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.64 : 19,097.54 = 7,869.34 : x
  2. Step 2: Convert to fraction form
    13,838.64/19,097.54 = 7,869.34/x
  3. Step 3: Cross multiply
    13,838.64x = 19,097.54 × 7,869.34
  4. Step 4: Simplify right side
    13,838.64x = 150,285,035.42
  5. Step 5: Solve for x
    x = 150,285,035.42/13,838.64
  6. Step 6: Final answer
    x = 10,859.81

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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.