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Finding the Fourth Proportional to 13,845.70, 19,105.14 and 7,877.08

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Solution

The fourth proportional to 13,845.70, 19,105.14 and 7,877.08 is: 10,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845.70 : 19,105.14 = 7,877.08 : x
  2. Step 2: Convert to fraction form
    13,845.70/19,105.14 = 7,877.08/x
  3. Step 3: Cross multiply
    13,845.70x = 19,105.14 × 7,877.08
  4. Step 4: Simplify right side
    13,845.70x = 150,492,716.19
  5. Step 5: Solve for x
    x = 150,492,716.19/13,845.70
  6. Step 6: Final answer
    x = 10,869.27

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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.